
My personal homepage http://faculty.ustc.edu.cn/hzli/en/index.htm
Publications:
1. A new formula for the energy functionals E_k and its applications, Int. Math. Res. Not., 2007 arXiv:math/0609724
2. On the lower bound of the K energy and F functional, Osaka J. Math. 2008 arXiv:math/0609725
3. On the Kahler Ricci flow on manifolds with 2-positive traceless bisectional curvature, with X. X. Chen, Chin. Ann. Math. Ser B. 2008
4. Kahler-Ricci flow with small initial energy, with X. X. Chen and B. Wang, Geom. Funct. Anal., 2009. arXiv:math/0609694
5. Gap theorems for Kahler Ricci solitons, Arch. Math. 2008. arXiv:0906.5517
6. Stability of the volume preserving mean curvature flow in the Euclidean spaces, Pacific Journal of Mathematics, 2009.
7. Stability of Kahler-Ricci flow, with X. X. Chen, Journal of Geometric Analysis, 2010 arXiv:0801.3086
8. On stability of the hyperbolic space form under the normalized Ricci flow, with Hao Yin, Int. Math. Res. Not. arXiv:0906.5529
9. Convergence of Lagrangian mean curvature flow in Kahler-Einstein manifolds, Math. Z.,2012 arXiv:0906.5527
10.Extremal Kahler metrics and energy functionals on projective bundles, AGAG, 2012 arXiv:1107.5237
11.The Futaki invariant on the blowup of Kahler surfaces, with Yalong Shi, Int. Math. Res. Not. 2015 arXiv:1211.2954
12.Kahler non-collapsing, eigenvalues and the Calabi flow,with Kai Zheng, Journal of Functional Analysis, 2014 arXiv:1309.4304
13.A criterion for the properness of the K-energy in a general Kahler class, with Yalong Shi and Yi Yao, Math. Ann., 2015 arXiv:1311.1032
14.A criterion for the properness of the K-energy in a general Kahler class (II), with Yalong Shi,Commun. Contemp. Math.,2016 arXiv:1501.01516
15.Existence of minimal surfaces of arbitrary large Morse index, with Xin Zhou, 2016, Calculus of Variations and PDE, arXiv:1504.00970
16.Regularity scales and convergence of the Calabi flow, with Bing Wang and Kai Zheng,Journal of Geometric Analysis, arXiv:1501.01851
17.Complex deformation of critical Kahler metrics,Journal of Mathematical Study, 2017, arXiv:1206.0912
18.The extension problem of the mean curvature flow (I), with Bing Wang, Inventiones mathematicae, 2019, arXiv:1608.02832
19.On the structure of Ricci shrinkers, with Yu Li and Bing Wang, Journal of Functional Analysis, 2021, arXiv:1809.04049
20.On Ilmanen's multiplicity-one conjecture for mean curvature flow with type-I mean curvature, with Bing Wang, 2021, Journal of the European Mathematical Society arXiv:1811.08654
21. Existence of twisted Calabi flow and deformation from the J-flow to Calabi flow, with Jie He, Journal of Functional Analysis, arXiv:2512.04572
22. Twisted Calabi flow with bounded $L^p$ scalar curvature, with Jie He, Journal of Mathematical Study.
Preprints:
23. Calabi flow with bounded $L^p$ scalar curvature, with Linwei Zhang and Kai Zheng, arXiv:2312.05816
24. Calabi flow with bounded $L^p$ scalar curvature (II), with Linwei Zhang, arXiv:2510.14302
25. Twisted Calabi functional and twisted Calabi flow, with Jie He, arXiv:2512.02451
26. On the structure of complete G2-solitons, with Yuanqing Ma and Kai Zheng, arXiv:2606.06619
27. Long-time existence of the Calabi flow on Kahler surfaces with bounded Sobolev constants, with Bing Wang and Kai Zheng, arXiv:2610.05217.
28. Global C^{2,α} estimate for complex Monge--Ampère equations on compact Kähler manifolds, with Bing Wang and Kai Zheng, arXiv:2610.14870.
29. Convergence of the Calabi flow on Kähler surfaces with bounded Sobolev constants, with Bing Wang and Kai Zheng, arXiv:2611.01882.
30. Calabi flow on polarized Kähler surfaces, with Bing Wang and Kai Zheng, arXiv:2611.01968.
31. Counterexamples to the $C^{1,\alpha}$ estimate for complex Monge--Ampere equations with bounded right-hand side, with Linwei Zhang, submitted on Oct. 22, 2026.