QR code

Welcome to visit !
You are the th visitor.

Open time: ..

The Last Update Time: ..

  • 李皓昭 ( Professor )

    My personal homepage http://faculty.ustc.edu.cn/hzli/en/index.htm

  •   Professor
Scientific Research Current position: Homepage >> Scientific Research

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.





Copyright © 2013 University of Science and Technology of China.