Selected Publications
1. (With L.-D. Zhang) New characterizations for spherical space forms and complex projective spaces.
To appear in Trans. AMS
2. ___________, RC-positivity and the generalized energy density I: rigidity.
J. Differential Geom. 128(2024),1315-1347.
3.(with W.-H. Ou, J. Liu) Projective manifolds whose tangent bundle contains a strictly nef subsheaf.
J. Algebraic Geom. 33(2024), 1-53.
4. (with B.-L. Chen) On Euler characteristic and fundamental groups of compact manifolds
Math Ann. 381(2021), 1723-1743.
5. ___________, RC-positivity, vanishing theorems and rigidity of holomorphic maps
J. Inst. Math. Jussieu. 20 (2021), no. 3,1023-1038.
6. ___________, RC-positive metrics on rationally connected manifolds.
Forum Math. Sigma 8(2020), Paper no 53.
7. (with D. Li, W.-H. Ou) On projective varieties with strictly nef tangent bundles.
J. Math. Pures Appl. 128 (2019), 140-151.
8. ___________, A partial converse to the Andreotti-Grauert theorem.
Compositio Math. 155 (2019), 89-99.
9. ___________, Scalar curvature on compact complex manifolds.
Tran. Amer. Math. Soc. 371 (2019), 2073-2087.
10.___________, RC positivity, rational connectedness and Yau's conjecture.
Camb. J. Math. 6 (2018), 183-212.
11. (with V. Tosatti, B. Weinkove), The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits.
Amer. J. Math. 140 (2018), 653-698.
12. (with B.-L. Chen) Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds.
Math. Ann. 370 (2018), 1477-1489.
13. (with V. Tosatti), An extension of a theorem of Wu-Yau.
J. Differential Geom. 107 (2017), 573-579.
14.__________, Big vector bundles and compact complex manifolds with semi-positive tangent bundle.
Math. Ann. 267 (2017), 251-282.
15. (with K.-F. Liu), Ricci curvatures on Hermitian manifolds.
Tran. Amer. Math. Soc. 369 (2017), 5157-5196.
16. (with V. Tosatti, Y. Wang, B. Weinkove) C2,αestimates for nonlinear elliptic equations in complex and almost complex geometry.
Calc. Var. PDE. 54 (2015), 431-453.
17. (with V. Tosatti, B. Weinkove) Collapsing of the Chern-Ricci flow on elliptic surfaces.
Math. Ann. 362 (2015), 1223-1271.
18. (with K.-F. Liu, S. Rao) Quasi-isometry and deformations of Calabi-Yau manifolds.
Invent. Math. 199 (2015), 423-453.
19. (with K.-F. Liu) Curvatures of direct image sheaves of vector bundles and applications I.
J. Differential Geom. 98 (2014), 117-145.
20. (with K.-F. Liu, X.-F. Sun) Positivity and vanishing theorems for ample vector bundles.
J. Algebraic Geom. 22 (2013), 303-331.
