Papers

Preprints

• On Special Calibrated Almost Complex Structures and Moduli Space, (with Adriano Tomassini). [arXiv]

Publications

• The parabolic quaternionic Calabi-Yau equation on hyperkähler manifolds (Lucio Bedulli and Giovanni Gentili). To appear in Rev. Mat. Iberoam.   [arXiv]

• On the pluriclosed flow on Oeljeklaus-Toma manifolds (with Elia Fusi). Canad. J. Math. 76 (2024), no. 1, 39--65.

• A remark on the quaternionic Monge-Ampère equation on foliated manifolds (with Giovanni Gentili).  Proc. Amer. Math. Soc. 2023, 151(3), pp. 1263–1275 [arXiv].

• Pluriclosed and Strominger Kähler-like metrics compatible with abelian complex structures (with Anna Fino and Nicoletta Tardini).  Bull. Lond. Math. Soc. 54 (2022), no. 5, 1862–1872. [arXiv].

• A parabolic approach to the Calabi-Yau problem in HKT geometry (with Lucio Bedulli and Giovanni Gentili).  Math. Z. 302 (2022), no. 2, 917–933. [arXiv].

• The quaternionic Calabi conjecture on abelian hypercomplex nilmanifolds viewed as tori fibrations (with Giovanni Gentili).  Int. Math. Res. Not. IMRN 2022, no. 12, 9499–9528 [arXiv].

• On the stability of the anomaly flow (with Lucio Bedulli). Math. Res. Lett. 29 (2022), no. 2, 323–338.

• Solutions to the Hull-Strominger system with torus symmetry (with Anna Fino and Gueo Grantcharov),  Comm. Math. Phys. 338 (2021), no. 2, 947–967. [arXiv].

• On the dynamical behaviour of the generalized Ricci flow (with Alberto Raffero).  J. Geom. Anal.  31 (2021), no. 10, 1049–10509. [arXiv].

• Quantitative stability for hypersurfaces with almost constant curvature in space forms  (with Giulio Ciraolo and Alberto Roncoroni).  Ann. Mat. Pura Appl.  (4)  200 (2021), no. 5, 2043–2083.  [arXiv].

• On the umbilic set of immersed surfaces in three-dimensional space forms (with Giovanni Catino and Alberto Roncoroni). Bull. Sci. Math. 165, 2020.  [arXiv]. 

• A remark on the Laplacian flow and the modified Laplacian co-flow in G2-Geometry (with Lucio Bedulli), Annals of Global Analysis and Geometry. (2020), 58(3), 287–290.

• Stability of geometric flows of closed forms (with Lucio Bedulli). Adv. in Math. 364 (2020) [arXiv].

• A scalar Calabi-type flow in Hermitian Geometry: Short-time existence and stability (with Lucio Bedulli). Ann. Sc. Norm. Super. Pisa Cl. Sci. Vol. XX, issue 2 (2020)  [arXiv]

• Hermitian Curvature flow on Lie groups and static invariant metrics (with Ramiro Lafuente and Mattia Pujia). Trans. Amer. Math. Soc. 373 (2020) 3967–3993 [arXiv].

• Quantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic space  (with Giulio Ciraolo). Indiana Univ. Math. J. 69 (2020),  1105-1153. [arXiv].

• Lie Groups with flat Gauduchon connections (with Bo Yang and Fangyang Zheng).  Math. Z. 293 (2019), 597–608. [arXiv]. 

• 4-dimensional almost-Kähler Lie algebras of constant Hermitian holomorphic sectional curvature are Kähler (with Mehdi Lejmi). J. Lie Theory 29 (2019), 445–452. [arXiv].

• On Serrin's overdetermined problem in space forms (with Giulio Ciraolo). Manuscripta Math. 159 (2019), 445–452. [arXiv].

• Astheno-Kähler and balanced structures on fibrations (with Anna Fino and Gueo Grantcharov). IMRN 22 (2019), 7093–7117. [arXiv].

• A remark on the Bismut-Ricci form on 2-step nilmanilfolds (with Mattia Pujia). CRAS 356 (2018) 222–226. [arXiv].

• Second order Geometric flows on foliated manifolds, (with Lucio Bedulli and Weiyong He). J. Geom. Anal. 28 (2018), 697–725. [arXiv]

• A sharp quantitative version of Alexandrov's theorem via the method of moving planes, (with Giulio Ciraolo). JEMS 20, (2018) 261–299. [arXiv]. 

• A rigidity problem on the round sphere, (with Giulio Ciraolo). Commun. Contemp. Math. 19 (2017), no. 5. [arXiv]. 

• A parabolic flow of balanced metrics, (with Lucio Bedulli). J. Reine Angew. Math. 723 (2017), 79–99. [arXiv]. 

• On the Calabi-Yau equation in the Kodaira-Thurston manifold. Complex Manifolds vol. 3 (Topical Issue on Complex Geometry and Lie Groups) (2016), 239–251. [journal] 

• A remark on an overdetermined problem in Riemannian Geometry, (with Giulio Ciraolo). Springer Proceedings in Mathematics and Statistics 176 (2016), 87–96. [arXiv].

• On the existence of  balanced and SKT metrics on nilmanifolds (with Anna Fino). Proc. Amer. Math. Soc. 144 (2016), n. 6, 2455–2459. [arXiv].

• On the J-flow on Sasakian manifolds (with Michela Zedda). Ann. Mat. Pura Appl. (4), 195 (2016), n. 3, 757–774.  [arXiv]. 

• The Calabi-Yau equation on the Kodaira-Thurston manifold, viewed as S^1 bundle over a 3-torus, (with Anna Fino and Ernesto Buzano). JDG 101, (2015), n. 2, 175–195.  [arXiv] [journal] 

• Some remarks on Calabi-Yau and Kähler foliations (with Georges Habib). Differential Geom. Appl. 41 (2015), 12–32. [arXiv]. 

• Special Hermitian metrics on compact solvmanifolds, (with Anna Fino), J. Geom. Phys. 91 (Special Issue) (2015), 40–53. [arXiv].

• Tamed complex structures on solvmanifolds (with Anna Fino and Hisashi Kasuya). Tohoku Math. J. (2) 67 (2015), 19–37. [arXiv].

• The pluriclosed flow on nilmanifolds and Tamed symplectic forms (with Anna Fino and Nicola Enrietti). J. Geom. Anal. 25 (2015), no. 2, 883–909. [arXiv]. 

• The Calabi-Yau equation on 4-manifolds over 2-tori (with Anna Fino, YanYan Li and Simon Salamon). Trans. Amer. Math. Soc. 365 (2013), no. 3, 1551–1575.  [arXiv] [journal]

• A note on Canonical Ricci forms on 2-step nilmanifolds. Proc. Amer. Math. Soc. 141 (2013), 325–333. [arXiv] [journal]

• Hermitian Symplectic structures and SKT metrics (with Anna Fino and Nicola Enrietti). J. Symplectic Geom. Vol. 10, n. 2 (2012), 203–223. [arXiv] [journal] . Errata: J. Symplectic Geom. Vol. 17, No. 4 (2019), pp. 1079-1081. [journal] 

• Quasi-Kähler manifolds with trivial Chern Holonomy, (with Antonio J. Di Scala). Math. Z.  Vol. 271 (2012), 95–108. [arXiv] [journal].

• Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras (with  Antonio J. Di Scala and Jorge Lauret). Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 41–60. [arXiv] [journal].

• The Calabi-Yau equation for T^2-bundles over T^2: the non-Lagrangian case (with Anna Fino and Ernesto Buzano). Rend. Sem. Mat. Univ. Politec. Torino Vol. 69, 3 (2011), 281–298.  [arXiv]. 

• On Hermitian Curvature flow on almost complex manifolds. Differential Geom. Appl. 29 (2011), 709–722. [journal].

• On almost complex structures which are not compatible with symplectic forms. Comptes Rendus Mathematique.Volume 349 (2011), Issue 7, Pages 429–431. [journal]

• Chern-flat and Ricci-flat invariant almost  Hermitian structures. (with Antonio J. Di Scala). Annals of Global Analysis and Geometry  Volume 40, Number 1, (2011), 21–45.  [journal]

• Some results on cosymplectic manifolds,  (with  Anna Fino). Geometriae Dedicata Volume 151 (2011), Number 1, 41–58. [arXiv] [journal]

• Complex submanifolds of almost complex Euclidean spaces (with  Antonio J. Di Scala). The Quarterly Journal of Mathematics  61 (2010), 401–405. [arXiv] [journal]

• Gray identities, Chern connection and integrability (with  Antonio J. Di Scala). Proceedings of the Edinburgh Mathematical Society  53, No. 3 (2010), 657–674. [arXiv] [journal]

• Connections on contact manifolds and Contact twistor space. Israel Journal of Mathematics  178 (2010), 253–268.  [journal]

• A class of Sasakian 5-manifolds, (with  Adrian Andrada and Anna Fino). Transformation Groups  14, No. 3 (2009), 493–512. [arXiv] [journal]

• On the canonical Hermitian connection on nearly Kähler manifolds. Kodai Math. J.  32 (2009), 420–431.  [journal]

• A note on infinitesimal deformations of Symplectic Half-Flat structures. International Mathematical Forum  3 (2008), 1313–1326. [journal]

• On Symplectic Half-Flat Manifolds, (with Adriano Tomassini). Manuscripta Math.  125  (2008), 515–530.  [arXiv] [journal]

• Torsion of SU(2)-structures and Ricci curvature in dimension 5, (with Lucio Bedulli). Differential Geom. Appl. 27 (2009), n.1, 85–99. [arXiv] [journal]

• Contact Calabi-Yau manifolds and Special Legendrian submanifolds, (with Adriano Tomassini), Osaka J. Math.  45 (2008), 127–147.  [arXiv] [journal]

• The Ricci tensor of  SU(3)-manifolds, (with Lucio Bedulli)  J. Geom. Phys. 57 (2007), no. 4, 1125–1146. [arXiv] [journal]

• On the Hermitian curvature of a Symplectic manifold, Adv. Geom. 7 (2007),  no. 2, 207–214. [arXiv] [journal]

• A generalization of the normal Holomorphic  frames in Symplectic manifolds, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 9 (2006), no. 3, 723–732.  [arXiv]

Proceedings

• • Abelian complex structures on 2-step nilmanifolds and flat connections.  AIP Conf. Proc. 1360 (2011), 113–118. [pdf]

  • Some Families of Special Generalized Calabi-Yau Structures, (with Adriano Tomassini), Proceedings of the XV International Workshop on Geometry and Physics,  Publ. de la RSME, Vol. 10 (2007), 183–188.