Published (41)

1.Zhu, Xiaohua (with Wang Feng):  Tian's partial $C^0$-estimate implies Hamilton-Tian's conjecture. Adv. in Math.  381 (2021), 107619, 29pp. 

2. Zhu, Xiaohua  (with  Li, Yan): $G$-Sasaki manifolds and K-energy.  Jour of Geom and Analysis. 31 (2021), no. 2, 1415-1470.

3.Zhu, Xiaohua ( with Deng, Yuxing): Higher dimensional steady Ricci solitons with linear curvature decay.  J. Eur. Math. Soc. (JEMS) 22 (2020), no. 12, 4097–4120.

4.  Zhu, Xiaohua ( with  Deng, Yuxing): A note on compact κ-solutions of Kähler-Ricci flow. Proc. Amer. Math. Soc. 148 (2020), no. 7, 3073–3078.

5. Zhu, Xiaohua( with Deng, Yuxing):  Classification of gradient steady Ricci solitons with linear curvature decay. Sci. China Math. 63 (2020), no. 1, 135–154.

6. Zhu, Xiaohua (with  Deng, Yuxing):  Rigidity of κ-noncollapsed steady Kähler-Ricci solitons. Math. Ann. 377 (2020), no. 1-2, 847–861.

7. Zhu, Xiaohua, KAHLER-EINSTEIN METRICS ON TORIC MANIFOLDS AND G-MANIFOLDS.  Progress in Mathematics, Birkhauser,  Vol 333 (2020), 545-585

8. Zhu, Xiaohua (with  Chu, Jianchun; Huang Liding): The Fu-Yau equation in higher dimensions. Peking Math. J. 2 (2019), no. 1, 71–97.

9. Zhu, Xiaohua (with Wang, Feng); The structure of spaces with Bakry-Émery Ricci curvature bounded below. J. Reine Angew. Math. 757 (2019), 1–50.

10. Zhu, Xiaohua (with Deng, Yuxing):  Three-dimensional steady gradient Ricci solitons with linear curvature decay. Int. Math. Res. Not. IMRN 2019, no. 4, 1108–1124.

11. Zhu, Xiaohua (with Chu, Jianchun; Huang Liding): The Fu-Yau equation on compact astheno-Kähler manifolds. Adv. Math. 346 (2019), 908–945.

12. Zhu, Xiaohua (with Tian): Perelman's W-functional and stability of  K\"ahler-Ricci flow.  PROGRESS IN MATHEMATICS，Volume 2, Number 1, March 2018, Pages 1–14;  arXiv: 0801.3504.

13. Zhu, Xiaohua (with Deng, Yuxing):  Asymptotic behavior of positively curved steady Ricci solitons. Trans. Amer. Math. Soc. 370 (2018), no. 4, 2855–2877

14. Zhu, Xiaohua (with Li, Yan, Zhou, Bin) :  K-energy on polarized compactifications of Lie groups. J. Funct. Anal. 275 (2018), no. 5, 1023–1072.

15. Zhu, Xiaohua (with Jiang, Wenshuai; Wang, Feng): Bergman kernels for a sequence of almost Kähler-Ricci solitons. Ann. Inst. Fourier (Grenoble) 67 (2017), no. 3, 1279–1320.

16. Zhu, Xiaohua (with Wang, Feng; Zhou, Bin) : Modified Futaki invariant and equivariant Riemann-Roch formula. Adv. Math. 289 (2016), 1205–1235.

17. Zhu, Xiaohua (with Wang Feng): Fano manifolds with weak almost Kähler-Ricci solitons. Int. Math. Res. Not. IMRN 2015, no. 9, 2437–2464

18. Zhu, Xiaohua (with Deng, Yuxing): Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature. Math. Z. 279 (2015), no. 1-2, 211–226.

19 Zhu, Xiaohua:  Stability of Kähler-Ricci flow on a Fano manifold. Math. Ann. 356 (2013), no. 4, 1425–1454.

20. Zhu, Xiaohua (with Tian, Gang): Convergence of the Kähler-Ricci flow on Fano manifolds. J. Reine Angew. Math. 678 (2013), 223–245.

21. Zhu, Xiaohua (with Tian, Gang; Zhang, Shijin; Zhang, Zhenlei):  Perelman's entropy and Kähler-Ricci flow on a Fano manifold. Trans. Amer. Math. Soc. 365 (2013), no. 12, 6669–6695.

22. Zhu, Xiaohua (with Shi, Yalong): Kähler-Ricci solitons on toric Fano orbifolds. Math. Z. 271 (2012), no. 3-4, 1241–1251.

23 . Zhu, Xiaohua:  A global mean value inequality for plurisubharmonic functions on a compact Kähler manifold. Recent developments in geometry and analysis, 495–507, Adv. Lect. Math. (ALM), 23, Int. Press, Somerville, MA, 2012.

24. Zhu, Xiaohua (with Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil): A form of Alexandrov-Fenchel inequality. Pure Appl. Math. Q. 6 (2010), no. 4, Special Issue: In honor of Joseph J. Kohn. Part 2, 999–1012.

25. Zhu, Xiaohua:  Kähler-Ricci flow on a toric manifold with positive first Chern class. Differential geometry, 323–336, Adv. Lect. Math. (ALM), 22, Int. Press, Somerville, MA, 2012.

26. Zhu, Xiaohua (with Zhou, Bin): Relative K-stability and modified K-energy on toric manifolds. Adv. Math. 219 (2008), 

27. Zhu, Xiaohua (with Zhou, Bin):  Minimizing weak solutions for Calabi's extremal metrics on toric manifolds. Calc. Var. Partial Differential Equations 32 (2008), no. 2, 191–217.

28. Zhu, Xiaohua (with Zhou, Bin): K-stability on toric manifolds. Proc. Amer. Math. Soc. 136 (2008), no. 9, 3301–3307

29. Zhu, Xiaohua (with Tian, Gang): Convergence of Kähler-Ricci flow. J. Amer. Math. Soc. 20 (2007), no. 3, 675–699.

30. Zhu, Xiaohua  (with Cao, Huai-Dong, Tian, Gang):  Kähler-Ricci solitons on compact complex manifolds with C_1(M)>0. Geom. Funct. Anal. 15 (2005), no. 3, 697–719.

31. Zhu, Xiaohua (with Wang, Xu-Jia):  Kähler-Ricci solitons on toric manifolds with positive first Chern class. Adv. Math. 188 (2004), no. 1, 87–103. 

32. Zhu, Xiao Hua (with Shen, Yi Bing): On complete hypersurfaces with constant mean curvature and finite L_p -norm curvature in R^n+1. Acta Math. Sin. (Engl. Ser.) 21 (2005), no. 3, 631–642.

33. Zhu, Xiaohua (with Lin, Chang Shou):  Explicit construction of extremal Hermitian metrics with finite conical singularities on S^2. Comm. Anal. Geom. 10 (2002), no. 1, 177–216.

34. Zhu, Xiaohua (with Tian, Gang):  A new holomorphic invariant and uniqueness of Kähler-Ricci solitons. Comment. Math. Helv. 77 (2002), no. 2, 297–325.

35. Zhu, Xiaohua (with Tian, Gang): Uniqueness of Kähler-Ricci solitons. Acta Math. 184 (2000), no. 2, 271–305. 

36. Zhu, Xiaohua (with Wang, Guofang):  Extremal Hermitian metrics on Riemann surfaces with singularities. Duke Math. J. 104 (2000), no. 2, 181–210.

37. Zhu, Xiaohua: Kähler-Ricci soliton typed equations on compact complex manifolds with c_1(M)>0. J. Geom. Anal. 10 (2000), no. 4, 759–774.

38. Zhu, Xiaohua (with Tian, Gang): A nonlinear inequality of Moser-Trudinger type. Calc. Var. Partial Differential Equations 10 (2000), no. 4, 349–354.

39. Zhu, Xiaohua (with Tian, Gang): Uniqueness of Kähler-Ricci solitons on compact Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 11, 991–995.

40. Zhu, Xiao-Hua (with Shen, Yi-Bing): On stable complete minimal hypersurfaces in R^n+1. Amer. J. Math. 120 (1998), no. 1, 103–116.

41 朱小华， 正定第一Chern 类的复流形上 Kahler-Einstein 度量的研究， 中国科学，数学，50 卷，2020年， 339-366. 

Preprints (6)

1. Zhu, Xiaohua (with Deng, Yuxing):  Steady Ricci solitons with horizontally \epsilon-pinched Ricci curvature.   Sciences China,  Mathematics,  doi: 10.1007/s11425-000-0000-0

2. Zhu, Xiaohua (with Li, Yan):  Tian's $\alpha_{m,k}^{\hat K}$-invariants on group compactifications.  To appear Math Zeit.

3. Zhu, Xiaohua (with  Li, Yan and  Gang, Tian ):  Uniform K-stability modulo a subgroup. To appear in Sbornik in Mathematics. 

4. Zhu, Xiaohua (with Li and Tian ):  Singular limits of Kähler-Ricci flow on Fano G-manifolds, arXiv:1807.09167.

5.Zhu, Xiaohua:  An application of $C^2$-estimate for a complex Monge-Ampere equation. To appear in Inter. J. of Math., DOI:10.1142/S0129167X21400073 

6.Zhu, Xiaohua (with  Li, Yan and  Gang, Tian ): Singular K\"ahler-Einstein metrics on  $\mathbb Q$-Fano compactifications of a Lie group. arXiv: 2001. 11320.