Papers

Refereed Papers

• 1. Kazuhiro Kuwae and Yohei Sakurai, Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies, to appear in J. Topol. Anal.. link

  2. Keita Kunikawa and Yohei Sakurai, Hamilton type entropy formula along the Ricci flow on surfaces with boundary, to appear in Comm. Anal. Geom.. link

  3. Ryunosuke Ozawa, Yohei Sakurai and Taiki Yamada, Maximal diameter theorem for directed graphs of positive Ricci curvature, to appear in Comm. Anal. Geom.. link

  4. Kazuhiro Kuwae, Songzi Li, Xiangdong Li and Yohei Sakurai, Liouville theorems for V-harmonic maps under non-negative (m,V)-Ricci curvature for non-positive m, Stoch. Process. their Appl. 168 (2024), Paper No. 104270, 25 pp. link

  5. Ryunosuke Ozawa, Yohei Sakurai and Taiki Yamada, Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound, Potential Anal. 59 (2023), no. 3, 955--969. link

  6. Yohei Sakurai, Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in CAT(1) spaces, Ann. Global Anal. Geom. 64 (2023), no. 3, Paper No. 19, 18 pp. link

  7. Kazuhiro Kuwae and Yohei Sakurai, Comparison geometry of manifolds with boundary under a lower N-weighted Ricci curvature bound with ε-range, J. Math. Soc. Japan 75 (2023), no. 1, 151--172. link

  8. Keita Kunikawa and Yohei Sakurai, Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition, Proc. Amer. Math. Soc. 150 (2022), no. 4, 1767--1777. link

  9. Yohei Sakurai, One dimensional weighted Ricci curvature and displacement convexity of entropies, Math. Nachr. 294 (2021), no. 10, 1950--1967. link

  10. Kazuhiro Kuwae and Yohei Sakurai, Rigidity phenomena on lower N-weighted Ricci curvature with ε-range for non-symmetric Laplacian, Illinois J. Math. 65 (2021), no. 4, 847--868. link

  11. Keita Kunikawa and Yohei Sakurai, Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry, J. Geom. Anal. 31 (2021), no. 12, 11899--11930. link

  12. Keita Kunikawa and Yohei Sakurai, Liouville theorem for harmonic map heat flow along ancient super Ricci flow via reduced geometry, Calc. Var. Partial Differential Equations 60 (2021), no. 5, 199, 24 pp. link

  13. Ryunosuke Ozawa, Yohei Sakurai and Taiki Yamada, Geometric and spectral properties of directed graphs under a lower Ricci curvature bound, Calc. Var. Partial Differential Equations 59 (2020), no. 4, 142, 39 pp. link

  14. Kei Funano and Yohei Sakurai, Upper bounds for higher-order Poincar'e constants, Trans. Amer. Math. Soc. 373 (2020), no. 6, 4415--4436. link

  15. Yohei Sakurai, Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound, Canad. J. Math. 72 (2020), no. 1, 243--280. link

  16. Kei Funano and Yohei Sakurai, Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold, Proc. Amer. Math. Soc. 147 (2019), 3155--3164. link

  17. Yohei Sakurai, Rigidity of manifolds with boundary under a lower Bakry-'Emery Ricci curvature bound, Tohoku Math. J. (2) 71 (2019), no. 1, 69--109. link

  18. Yohei Sakurai, Rigidity phenomena in manifolds with boundary under a lower weighted Ricci curvature bound, J. Geom. Anal. 29 (2019), no. 1, 1--32.. link

  19. Yohei Sakurai, Rigidity of manifolds with boundary under a lower Ricci curvature bound, Osaka J. Math. 54 (2017), no. 1, 85--119. link

Preprints

• 1. Yohei Sakurai, Concentration of 1-Lipschitz functions on manifolds with boundary with Dirichlet boundary condition, preprint arXiv:1712.04212v4.

  2. Andreas Dechant and Yohei Sakurai, Thermodynamics interpretation of Wasserstein distance, preprint arXiv:1912.08405.

  3. Keita Kunikawa and Yohei Sakurai, Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow, preprint arXiv:2201.11361v2.

  4. Keita Kunikawa and Yohei Sakurai, Almost splitting and quantitative stratification for super Ricci flow, preprint arXiv:2309.11882v2.