Research 

Refereed papers

1. Warped product slant submanifolds of nearly Kähler manifolds

Journal of the Iranian Mathematical Society, 6 (1) (2025), 57-71. [journal]

2. On a parabolic Monge-Ampere type equation on compact almost Hermitian manifolds

Mathematische Nachrichten, 297 (11) (2024), 4232-4272. [journal]

3. Nonnegative holomorphic sectional curvature on almost Hermitian manifolds

Taiwanese Journal of Mathematics, 28 (4) (2024), 799-829. [journal] 

4. Chern flat, Chern-Ricci flat twisted product almost Hermitian manifolds

Analysis, (2024) https://doi.org/10.1515/anly-2024-0012. [journal]

5. Non-existence of 1-st Gauduchon metric in the conformal class of a metric on 6-dimensional almost Hermitian manifolds

Tsukuba Journal of Mathematics, 47 (2) (2023), 215-237. [journal]

6. On a class of fully nonlinear elliptic equations containing gradient terms on compact almost Hermitian manifolds

Hiroshima Mathematical Journal, 53 (3) (2023), 281-310. [journal]

7. A note on the deformed Hermitian-Yang-Mills equation with gradient terms on compact almost Hermitian manifolds

Bulletin of the Iranian Mathematical Society, 49, Article number: 72 (2023). [journal]

8. On the exterior differential operator on almost Hermitian manifolds and some relations of its components for smooth functions

Analysis, (2023). [journal]

9. A C^0 a priori estimate for the quaternionic Monge-Ampere equation in almost Hermitian geometry

Journal of Geometry and  Physics, 192 (2023). [journal] 

10. A preserved geometric property along the second Ricci flow on noncompact almost Hermitian manifolds

Bulletin of the Iranian Mathematical Society, 49, Article number: 4 (2023). [journal]

11. On the conformally balanced condition on Kähler-like almost Hermitian manifolds and the semi-Kählerity

Bulletin of the Iranian Mathematical Society, 48 (2022), 2287 - 2295. [journal]

12. On an a priori L^∞ estimate for a class of Monge-Ampere type equations on compact almost Hermitian manifolds

CUBO, A Mathematical Journal, 24 (2022), no. 2, 239-261. [journal]

13. An a priori C^0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds

Complex Manifolds, 9 (2022), 223-237. [journal]

14. Compact almost Hermitian manifolds with quasi-negative curvature and the almost Hermitian curvature flow

Results in Mathematics, 77, Article number: 162 (2022). [journal]

15. On a k-th Gauduchon almost Hermitian manifold

Complex Manifolds, 9 (2022), 65-77. [journal]

16. Second order derivative estimates for a class of Hessian equations on compact almost Hermitian manifolds

Boletín de la Sociedad Matemática Mexicana, 28 (2022), Article number: 18. [journal]

17. A gradient estimate for the Monge-Ampere equation on compact almost Hermitian manifolds

Illinois Journal of  Mathematics 65 (2021), no. 4, 907-920. [journal]

18. Gradient estimates for Monge-Ampere type equations on compact almost Hermitian manifolds with boundary

Analysis, 42 (2021), no. 1, 41-48. [journal]

19. Estimates for the Hessian equation on compact almost Hermitian manifolds

Results in Mathematics 76 (2021) Article number: 201. [journal]

20. Estimates for a function on almost Hermitian manifolds

Complex Manifolds 8 (2021), 267-273. [journal]

21. On the conformally k-th almost Gauduchon condition and the conformally almost balanced condition

CUBO, A Mathematical Journal, 23 (2021), no. 2, 333-341. [journal]

22. On the k-th almost Gauduchon condition on almost Hermitian manifolds

Analysis 41 (2021), no. 4, 231-237. [journal]

23. On Kähler-like and G-Kähler-like quasi-Kähler manifolds

Nihonkai Mathematical Journal 32 (2021), 25-29. [journal]

24. On the conformally balanced condition on almost Hermitian manifolds and the quasi-Kählerity

Journal of Geometry 112 (2021), Article number: 20. [journal]

25. Uniform equivalence between almost Hermitian metrics and the solution to the almost Hermitian flow

Kodai Mathematical Journal 44 (2021), 20-46. [journal]

26. On 6-dimensional Kähler-like or G-Kähler-like nearly Kähler  manifolds

New Zealand Journal of Mathematics 50 (2021), 219-231. [journal]

27. On the Kähler-likeness on nearly Kähler manifolds

Asian-European Journal of Mathematics 14 (2021), no. 8, doi:10.1142/S1793557121501321. [journal]

28. On Kähler-like almost Hermitian metrics and the almost Hermitian curvature flow

Hokkaido Mathematical Journal, 49 (2020), no.3, 431-450. [journal]

29. Regularity results for the almost Hermitian curvature flow

Tsukuba Journal of Mathematics, 44 (2020), no.1, 63-120. [journal]

30. On Kähler-like and G-Kähler-like almost Hermitian manifolds

Complex Manifolds, 7 (2020), 145-161. [journal]

31. A parabolic flow of almost balanced metrics

Taiwanese Journal of Mathematics, 24 (2020), no. 5, 1139-1152.  [journal]

32. On the Kähler-likeness on almost Hermitian manifolds

Complex Manifolds, 6 (2019), 366-376. [journal]

33. Parabolic flows on almost Hermitian manifolds

Kyushu Journal of Mathematics, 73 (2019), no.1, 69-87.  [journal]

34. A scalar Calabi-type flow in the almost Hermitian geometry

Tsukuba Journal of Mathematics, 43 (2019), no.1, 37-54. [journal]

35. Parabolic flows on almost complex manifolds

Tokyo Journal of Mathematics, 41 (2018), no.2, 573-586. [journal]

36. On the non-existence of static pluriclosed metrics on non-Kähler minimal complex surfaces

Tokyo Journal of Mathematics 41 (2018), no.1, 65-76.  [journal]

37. An almost pluriclosed flow

Geometric Flows 2 (2017), no.1, 72-85. [journal]

38. On the C^α-convergence of the solution of the Chern-Ricci flow on elliptic surfaces

Tokyo Journal of Mathematics, 39 (2016), no.1, 215-224. [journal]

Preprints

1. Fully nonlinear elliptic equations on complete noncompact almost Hermitian manifolds with smooth boundary and conformal deformations of the mixed Chern-Ricci forms

submitted to manuscripta math. (Aug. 2023)

2. On the t-Gauduchon connection on almost Hermitian manifolds

submitted to Illinois J. Math. (Oct. 2023)

3. On second derivative estimates for Hessian equations of Krylov type in almost Hermitian geometry

submitted to Indian J. Pure Appl. Math.  (Dec. 2023)

4. The limit of the Fu-Yau equations on a product of two compact quasi-Kähler manifolds

submitted to J. Geom. Phys. (Feb. 2024)

5. The positive Hermitian curvature flow on almost complex manifolds with the Griffiths non-negative Chern curvature

submitted to Nagoya J. Math. (July 2024)

6. On a warped product semi-invariant submanifold of a Lorentzian nearly paracosymplectic manifold

submitted to Arabian J. Math. (Oct. 2024)

7. Levi-Civita Ricci-flat doubly warped product almost Hermitian manifolds

submitted to Arabian J. Math. (Oct. 2024)

8. A Calabi flow on quasi-Kahler manifolds

submitted to Partial Differential Equations and Applications (Dec. 2024)

9. On torsion-critical manifolds in almost Hermitian geometry

submitted to Bulletin of the Iranian Mathematical Society (Jan. 2025)

10. On the non-existence of warped product semi-slant and anti-slant submanifolds of a Lorentzian nearly paracosymplectic manifold

submitted to Journal of the Iranian Mathematical Society (Feb. 2025)

11. Non-existence of CR-warped product submanifolds of nearly Lorentzian para-Sasakian manifolds

submitted to Turk. J. Math. Comput. Sci. (Feb. 2025)

Misc.

1. Erratum to ”On a class of fully nonlinear elliptic equations containing gradient termson compact almost Hermitian manifolds"

to appear in Hiroshima Mathematical Journal

2. Negative Kodaira dimension on an almost Hermitian manifold with non-negative curvature,

Conference : Submanifold geometry and Lie group actions 2023, Proceeding, 118-129, 2024.

3. Fully nonlinear elliptic equations on complex and almost complex manifolds

Conference : Submanifold geometry and Lie group actions 2022, Proceeding, 29-46, 2023.

4. On some parabolic flows on almost complex manifolds

Conference : Submanifold geometry and Lie group actions 2019, Proceeding, 12-26, 2020.

5. On the classification problem of static pluriclosed metrics on minimal non-Kähler compact complex surfaces

Conference : Submanifold geometry and Lie group actions 2016, Proceeding, 10-29, 2017. 

Doctoral thesis

• On the convergence of the Chern-Ricci flow on complex surfaces

Tokyo Metropolitan University, 25th Mar. 2016 [pdf]

1. 非負曲率を持つ概エルミート多様体上の負の小平次元

部分多様体幾何とリー群作用2023 (於 : 東京理科大学) 2023年11月21日

2. 多様体上の放物型フローについて

名大幾何セミナー（於 : 名古屋大学) 2023年5月8日

3. 複素及び概複素多様体上の完全非線形楕円型方程式

部分多様体幾何とリー群作用2022 (於 : 東京理科大学) 2023年3月27日

4. コンパクト概Hermitian多様体上のk-th Gauduchon計量について

日本数学会2023年度年会 幾何学分科会 (於 : 中央大学) 2023年3月16日

5. 擬負曲率を持つコンパクト概エルミート多様体と概エルミート曲率流,

日本数学会2022年度秋季総合分科会 幾何学分科会（於 : 北海道大学）2022年9月16日

6. 概Hermitian多様体上の関数の評価とそのMonge-Ampere方程式への応用

日本数学会2022年度年会 幾何学分科会（於 : 埼玉大学）2022年3月28日

7. A generalized Hermitian curvature flow on almost Hermitian manifolds

複素解析幾何セミナー（於 : 東京大学）2021年12月13日

8. 概Hermitian曲率フローの解の性質について

日本数学会2021年度年会（於 : 慶應義塾大学）2021年3月15日

9. On some parabolic flows on almost complex manifolds

部分多様体幾何とリー群作用2019（於 : 東京理科大学）2019年12月25日 

10. 概Hermitian多様体上のKähler-like性について

日本数学会2019年度秋季総合分科会 幾何学分科会（於 : 金沢大学）2019年9月19日

11. Parabolic flows in almost Hermitian geometry

日本数学会2019年度年会 幾何学分科会（於 : 東京工業大学）2019年3月19日

12. Parabolic flows on almost complex manifolds

日本数学会2017年度秋季総合分科会 幾何学分科会（於 : 山形大学）2017年9月11日

13. On the non-existence of static pluriclosed metrics on minimal non-Kähler compact complex surfaces

日本数学会2016年度秋季総合分科会 幾何学分科会（於 : 関西大学）2016年9月15日

14. On the classification problem of static pluriclosed metrics on minimal non-Kähler compact complex surfaces

部分多様体幾何とリー群作用2016（於 : 東京理科大学）2016年9月1日 

15. On the C^α-convergence of the solution of the Chern-Ricci flow on elliptic surfaces

日本数学会2016年度年会 幾何学分科会（於 : 筑波大学）2016年3月16日

16. Convergence in the Gromov-Hausdorff sense and the Chern-Ricci flow on complex surfaces

多様体上の微分方程式金沢シリーズ第13回（於 : 石川四高記念館）2014年11月20日

17. 超対称性とGauduchon予想に関わるMonge-Ampere方程式のa priori評価

日本数学会2014年度秋季総合分科会 幾何学分科会（於 : 広島大学）2014年9月27日

18. 対数的末端特異点を持つ射影的カラビ・ヤウ多様体上のケーラー・リッチフローについて

第60回幾何学シンポジウム（於 : 東京工業大学）2013年8月24日

19. 対数的末端特異点を持つ射影的カラビ・ヤウ多様体上のケーラー・リッチフローについて

第8回関東若手幾何セミナー（於 : 慶應義塾大学）2013年7月13日

今後の予定

1. 日本数学会年会（於：早稲田大学）2025年3月18日〜21日

Mathematical Reviews

1. MR4707780 

Ye, Yanan 

Pluriclosed flow and Hermitian-symplectic structures

J. Geom. Anal. 34 (2024), no. 4, Paper No. 110, 18 pp. 53E30 (51M15 58J35)

2. MR4736520 

Guo, Bin; Song, Jian 

Schauder estimates for equations with cone metrics, II. 

Anal. PDE 17 (2024), no. 3, 757--830. 32Q15 (35J15 35K10 35K67 53C55)

3. MR4756224 

Han, Xiaoli; Jin, Xishen 

Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kähler manifolds

Manuscripta Math. 174 (2024), no. 3-4, 963--972. 53C55 (53D37)

4. MR4687765 

Fusi, Elia; Vezzoni, Luigi 

On the pluriclosed flow on Oeljeklaus-Toma manifolds

Canad. J. Math. 76 (2024), no. 1, 39--65. 53E30 (32M10 53C55)

5. MR4630788 

Ni, Lei; Zheng, Fangyang 

On Hermitian manifolds whose Chern connection is Ambrose-Singer 

Trans. Amer. Math. Soc. 376 (2023), no. 9, 6681--6707. 53C55 (53C05)

6. MR4671384 

Fei, Teng; Phong, Duong H. 

Symplectic geometric flows

Pure Appl. Math. Q. 19 (2023), no. 4, 1853--1871. 53E50

7. MR4741358 

Ye, Yanan 

Derivative estimates of pluriclosed flow

Adv. Math. 447 (2024), Paper No. 109684, 32 pp. 53E30 

8. MR4644169 

Dong, Weisong 

The Dirichlet problem for Monge-Ampère type equations on Hermitian manifolds

Discrete Contin. Dyn. Syst. 43 (2023), no. 11, 3925--3939. 32W20 (53C55)

9. MR4520031 

Stanfield, James 

Positive Hermitian curvature flow on special linear groups and perfect solitons

Proc. Amer. Math. Soc. 151 (2023), no. 2, 835--851. 53E30

10. MR4595538 

Angella, Daniele; Tosatti, Valentino 

Leafwise flat forms on Inoue-Bombieri surfaces

 J. Funct. Anal. 285 (2023), no. 5, Paper No. 110015, 34 pp. 53E30 (32J15 53C55)

11. MR4575377 

Giusti, Federico; Podestà, Fabio

Real semisimple Lie groups and balanced metrics

Rev. Mat. Iberoam. 39 (2023), no. 2, 711--729. 53C55 (53C25)

12. MR4400736

Fei, Teng; Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 

Geometric flows for the type IIA string

Camb. J. Math. 9 (2021), no. 3, 693--807. 53E50 (81T30)

13. MR4492219

Bedulli, Lucio; Vezzoni, Luigi 

On the stability of the anomaly flow

Math. Res. Lett. 29 (2022), no. 2, 323--338. 53E30 (32Q25 53C55)

14. MR4471718 

Naumann, Philipp 

An approach to the Griffiths conjecture

Math. Res. Lett. 28 (2021), no. 5, 1505--1523. 32L05 (53E20)

15. MR4469253 

Pan, Chung-Ming 

Singular Gauduchon metrics

Compos. Math. 158 (2022), no. 6, 1314--1328. 53C55 (14D06 32C15 53C15)

16. MR4453231

Yu, Chengjie; Zhang, Chuangyuan 

Three circle theorem on almost Hermitian manifolds and applications

Calc. Var. Partial Differential Equations 61 (2022), no. 5, Paper No. 184, 30 pp. 53C55 (32A10)

17. MR4457497 

Zhang, Jiaogen 

A subsolution theorem for the Monge-Ampère equation over an almost Hermitian manifold

Acta Math. Sci. Ser. B (Engl. Ed.) 42 (2022), no. 5, 2040--2062. 32W20 (31C10 32Q60 35B50)

18. MR4288641

Ustinovskiy, Yury 

Hermitian curvature flow on complex homogeneous manifolds

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 21 (2020), 1553--1572. 53E30 (53C30 53C55)

19. MR4348696

Streets, Jeffrey 

Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations

Adv. Math. 394 (2022), Paper No. 108127, 31 pp. 53E20

20. MR4181011

Streets, Jeffrey 

Pluriclosed flow and the geometrization of complex surfaces

Geometric analysis—in honor of Gang Tian's 60th birthday, 471--510, Progr. Math., 333, Birkhäuser/Springer, Cham, [2020], ©2020. 53E30

21. MR4251167 

Picard, Sebastien; Zhang, Xiangwen 

Parabolic complex Monge-Ampère equations on compact Kähler manifolds

Proceedings of the International Consortium of Chinese Mathematicians 2018, 639--665, Int. Press, Boston, MA, [2020], ©2020. 32W20

22. MR4340477 

Guo, Bin; Song, Jian 

Schauder estimates for equations with cone metrics, I

Indiana Univ. Math. J. 70 (2021), no. 5, 1639--1676. 32W20

23. MR4291615 

Stanfield, James 

Positive Hermitian curvature flow on nilpotent and almost-abelian complex Lie groups

Ann. Global Anal. Geom. 60 (2021), no. 2, 401--429. 53E30 (22E25 53C15)

24. MR4288257 

Barbaro, Giuseppe 

Griffiths positivity for Bismut curvature and its behaviour along Hermitian curvature flows

J. Geom. Phys. 169 (2021), Paper No. 104323, 17 pp. 53E30 (32Q10 32Q25)

25. MR4238278 

Ustinovskiy, Yury 

Lie-algebraic curvature conditions preserved by the Hermitian curvature flow

Math. Ann. 379 (2021), no. 3-4, 1713--1745. 53E30 (53C55)

26. MR4229551 

Pediconi, Francesco; Pujia, Mattia 

Hermitian curvature flow on complex locally homogeneous surfaces

Ann. Mat. Pura Appl. (4) 200 (2021), no. 2, 815--844. 53E30 (53C15 53C30 53C55)

27. MR4259154 

He, Weiyong; Zeng, Yu 

The Calabi flow with rough initial data

Int. Math. Res. Not. IMRN 2021, no. 10, 7470--7551. 53E30 (32Q15)

28. MR4203643 

Ho, Pak Tung 

Results related to the Chern-Yamabe flow

J. Geom. Anal. 31 (2021), no. 1, 187--220. 53E30 (35R01 53B35 53C18 53C56)

29. MR4070351 

Calamai, Simone; Zou, Fangyu 

A note on Chern-Yamabe problem

Differential Geom. Appl. 69 (2020), 101612, 14 pp. 53B35 (32Q99 53C18 53E30)

30. MR4127878 

Ustinovskiy, Yury 

On the structure of Hermitian manifolds with semipositive Griffiths curvature

Trans. Amer. Math. Soc. 373 (2020), no. 8, 5333--5350. 53E30 (53C55)

31. MR4058537 

Sherman, Morgan; Weinkove, Ben 

The continuity equation, Hermitian metrics and elliptic bundles

J. Geom. Anal. 30 (2020), no. 1, 762--776. 53C55 (32Q99 35J96

32. MR4105914 

Bedulli, Lucio; Vezzoni, Luigi 

A scalar Calabi-type flow in Hermitian geometry: short-time existence and stability

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 20 (2020), no. 2, 657--676. 53E30 (53C10 53C55)

33. MR4078690 

Ge, Huabin; Lin, Aijin; Shen, Liangming 

The Kähler-Ricci flow on pseudoconvex domains

Math. Res. Lett. 26 (2019), no. 6, 1603--1627. 32Q20 (32T99 53E30)

34. MR4073196 

Li, Chao; Li, Jiayu; Zhang, Xi 

A mean value formula and a Liouville theorem for the complex Monge-Ampère equation

Int. Math. Res. Not. IMRN 2020, no. 3, 853--867. 53C21 (32W20)

35. MR4073308 

Jordan, Joshua; Streets, Jeffrey 

On a Calabi-type estimate for pluriclosed flow

Adv. Math. 366 (2020), 107097, 18 pp. 53E30 (32Q15 35R01)

36. MR3957836 

Arroyo, Romina M.; Lafuente, Ramiro A. 

The long-time behavior of the homogeneous pluriclosed flow

Proc. Lond. Math. Soc. (3) 119 (2019), no. 1, 266--289. 53E30 (22E25 53C55)

37. MR3940944 

Kelleher, Casey Lynn 

Symplectic curvature flow revisited

Adv. Math. 349 (2019), 426--458. 53C44 (53D05)

38. MR4030526 

Ustinovskiy, Yury 

The Hermitian curvature flow on manifolds with non-negative Griffiths curvature

Amer. J. Math. 141 (2019), no. 6, 1751--1775. 53C44 (53C55)

39. MR4001031 

Zheng, Tao 

A parabolic Monge-Ampère type equation of Gauduchon metrics

Int. Math. Res. Not. IMRN 2019, no. 17, 5497--5538. 32W20 (53C55)

40. MR3985117 

Edwards, Gregory 

Metric contraction of the cone divisor by the conical Kähler-Ricci flow

Math. Ann. 374 (2019), no. 3-4, 1525--1557. 53C44 (32Q15 53C55)

41. MR3968911 

Fei, Teng; Guo, Bin; Phong, Duong H. 

On convergence criteria for the coupled flow of Li-Yuan-Zhang

Math. Z. 292 (2019), no. 1-2, 473--497. 53C44

42. MR3959096 

Guedj, Vincent; Lu, Chinh H.; Zeriahi, Ahmed 

Stability of solutions to complex Monge-Ampère flows

Ann. Inst. Fourier (Grenoble) 68 (2018), no. 7, 2819--2836. 53C44 (32Q15 32W20 58J35)

43. MR3833788 

Zheng, Tao 

An almost complex Chern-Ricci flow

J. Geom. Anal. 28 (2018), no. 3, 2129--2165. 53C44 (32Q60 32W20 35K96 53C15)

44. MR3935268 

Sun, Wei 

The parabolic flows for complex quotient equations

J. Geom. Anal. 29 (2019), no. 2, 1520--1545. 58J35 (53C55 58J05)

45. MR3918631 

Liu, Jiawei; Zhang, Xi 

Cusp Kähler-Ricci flow on compact Kähler manifolds

Ann. Mat. Pura Appl. (4) 198 (2019), no. 1, 289--306. 53C55 (32W20 53C44)

46. MR3808262 

Streets, Jeffrey 

Pluriclosed flow on generalized Kähler manifolds with split tangent bundle

J. Reine Angew. Math. 739 (2018), 241--276. 53C44 (32Q15 53C55)

47. MR3910489 

Kołodziej, Sławomir; Nguyen, Ngoc Cuong 

Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds

Adv. Math. 346 (2019), 264--304. 53C55 (32U40 32W20 35J96)

48. MR3774405 

Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 

Geometric flows and Strominger systems

Math. Z. 288 (2018), no. 1-2, 101--113. 53C44 (58C15)

49. MR3853932 

Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 

Anomaly flows

Comm. Anal. Geom. 26 (2018), no. 4, 955--1008. 53C44 (32Q99 53C55 81T30)

50. MR3836294 

Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 

The anomaly flow and the Fu-Yau equation

Ann. PDE 4 (2018), no. 2, Paper No. 13, 60 pp. 53C44 (35K93 53C80)

zbMATH Open

1. Li, Yu

Ancient solutions to the Kähler Ricci flow

Geom. Topol. 28, No. 7, 3257-3283 (2024)

2. Shi, Ziming

On \(1/2\) estimate for global Newlander-Nirenberg theorem

Math. Ann. 391, No. 2, 2943-2979 (2025)

3. Sivaram, P.

A note on the PDE approach to the L^∞ estimates for complex Hessian equations on transverse Kähler manifolds

    Bull. Lond. Math. Soc. 56, No. 11, 3542-3564 (2024).

4. Cifarelli, Charles; Conlon, Ronan J.; Deruelle, Alix

An Aubin continuity path for shrinking gradient Kähler-Ricci solitons

J. Reine Angew. Math. 815, 229-307 (2024).

5. Giusti, Federico; Spotti, Cristiano

A Kummer construction for Chern-Ricci flat balanced manifolds

Math. Z. 308, No. 4, Paper No. 61, 30 p. (2024).

6. Guo, Bin; Phong, Duong H.; Sturm, Jacob

Green's functions and complex Monge-Ampère equations

J. Differ. Geom. 127, No. 3, 1083-1119 (2024).

7. Guedj, Vincent; Guenancia, Henri; Zeriahi, Ahmed

Strict positivity of Kähler-Einstein currents

Forum Math. Sigma 12, Paper No. e68, 27 p. (2024). 

8. Phong, Duong H.; Tô, Dat T.

Fully non-linear parabolic equations on compact Hermitian manifolds

Ann. Sci. Éc. Norm. Supér. (4) 54, 793-829 (2021). 

9. Fu, Jixiang; Xu, Xin; Zhang, Dekai

The Monge-Ampère equation for \((n-1)\)-quaternionic PSH functions on a hyperKähler manifold

Math. Z. 307, Paper No. 29, 25 p. (2024). 

10. Dong, Yuxin; Lin, Hezi; Lu, Lingen

Sobolev inequalities in manifolds with asymptotically nonnegative curvature

Calc. Var. Partial Differ. Equ. 63, Paper No. 110, 18 p. (2024). 

11. Guo, Bin; Phong, Duong H.; Tong, Freid; Wang, Chuwen

On L^∞ estimates for Monge-Ampère and Hessian equations on nef classes

Anal. PDE 17, 749-756 (2024). 

12. Sun, Wei

The weak solutions to complex Hessian equations

Calc. Var. Partial Differ. Equ. 63, Paper No. 57, 35 p. (2024). 

13. Wondo, Hosea

Calabi symmetry and the continuity method

Int. J. Math. 34, Article ID 2350076, 27 p. (2023). 

14. Holt, Tom; Zhang, Weiyi

Harmonic forms on the Kodaira-Thurston manifold

Adv. Math. 400, Article ID 108277, 30 p. (2022). 

15. Loi, Andrea; Salis, Filippo; Zuddas, Fabio

On canonical radial Kähler metrics

Osaka J. Math. 60, 545-554 (2023).