代表作
Publications (in mathematics)
1) K-energy on polarized compactifications of Lie groups, J. Func. Analysis, 275 (2018), 1023-1072. 2018.
2) Structure of spaces with Bakry-Émery Ricci curvature bounded below, J. Reine Angew. Math (Crelle’s Journal), 2018, (with Wang, Feng).
3) 3d steady Gradient Ricci Solitons with linear curvature decay, International Mathematics Research Notices, OI: 10.1093/imrn/rnx155, 2017.
4) Asymptotic behavior of positively curved steady Ricci solitons. Trans. Amer. Math. Soc. 370 (2018), no. 4, 2855–2877, (with Deng, Yuxing).
5) Bergman Kernels for a sequence of almost K\"{a}hler-Ricci solitons， Ann Fourier Institute, 67 (2017), no. 3, 1279–1320, (with Jiang, Wenshuai，Wang, Feng).
6) Modified Futaki invariant and equivariant Riemann-Roch formula, Adv. Math., 286 (2016), 1205–1235. (with Wang, Feng, Zhou Bin)
7) Fano manifolds with weak almost K\"ahler-Ricci solitons, Inter. Math. Res. Notices, 9 (2015), 2437–2464 ( with Wang, Feng ).
8) Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature, Math Zeit, 2015 ( with Deng, Yuxing ).
9) Perelman's entropy and K\"ahler-Ricci flow on a Fano manifold. Trans. Amer. Math. Soc. 365 (2013), no. 12, 6669-6695( with Tian, Gang; Zhang, Shijin; Zhang, Zhenlei).
10) Stability of K\"ahler-Ricci flow on a Fano manifold. Math. Ann. 356 (2013), no. 4, 1425-1454.
11) Convergence of the K\"ahler-Ricci flow on Fano manifolds. J. Reine Angew. Math. 678 (2013), 223-245 ( with Tian, Gang).
12) K\"ahler-Ricci solitons on toricFanoorbifolds. Math. Z. 271 (2012), 1241-1251 ( with Shi, Y. L) .
13) K\"ahler-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.
14) A global mean value inequality for plurisubharmonic functions on a compact K\"ahler manifold. Recent developments in geometry and analysis, 495-507, Adv. Lect. Math. (ALM), 23, Int. Press, Somerville, MA, 2012.
15) An example of a singular metric arising from the blow-up limit in the continuity approach to K\"ahler-Einstein metrics. Pacific J. Math. 250 (2011), no. 1, 191-203 ( with Shi, Y. L).
16) 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 ( with Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil).
17) Canonical metrics on toric manifolds. Trends in partial differential equations, 497-522, Adv. Lect. Math. (ALM), 10, Int. Press, Somerville, MA, 2010.
18) Relative K-stability and modified K-energy on toric manifolds. Adv. Math. 219 (2008), no. 4, 1327-1362 ( with Zhou, Bin ) .
19) K-stability on toric manifolds. Proc. Amer. Math. Soc. 136 (2008), no. 9, 3301-3307 ( with Zhou, Bin ).
20) Minimizing weak solutions for Calabi'sextremal metrics on toric manifolds. Calc. Var. Partial Differential Equations 32 (2008), no. 2, 191-217 ( with Zhou, Bin ).
21) Convergence of K\"ahler-Ricci flow. J. Amer. Math. Soc. 20 (2007), no. 3, 675-699 ( with Tian, Gang).
22) K\"ahler-Ricci solitons on compact complex manifolds with $C_1 (M)>0$, Geom. Funct. Anal. (2005), no. 3, 697-719 ( with Cao, Huai-Dong; Tian, Gang ).
23) K\"ahler-Ricci solitons on toric manifolds with positive first Chern class. Adv. Math. 188 (2004), no. 1, 87-103 (with Wang, X.J. ) .
24) A new holomorphic invariant and uniqueness of K\"ahler-Ricci solitons. Comment. Math. Helv. 77 (2002), no. 2, 297-325 (with Tian, Gang).
25) Explicit construction of extremalHermitian metrics with finite conical singularities on S_2,
Comm. Anal. Geom. 10 (2002), no. 1, 177-216 (with Lin, Chang Shou) .
26) K\"ahler-Ricci soliton typed equations on compact complex manifolds with $C_1(M)>0$, J. Geom. Anal. 10 (2000), no. 4, 759-774.
27) Extremal Hermitian metrics on Riemann surfaces with singularities. Duke Math. J. 104 (2000), no. 2, 181-210 ( with Wang, Guofang ) .
28) Uniqueness of K\"ahler-Ricci solitons. Acta Math. 184 (2000), no. 2, 271-305 ( with Tian, Gang).
29) A nonlinear inequality of Moser-Trudinger type. Calc. Var. Partial Differential Equations 10 (2000), no. 4, 349-354 ( with Tian, Gang).
30) Uniqueness of K\"ahler-Ricci solitons on compact Kähler manifolds. C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 11, 991-995 ( with Tian, Gang).
31) On stable complete minimal hypersurfaces in $R^{n+1}$, Amer. J. Math. 120 (1998), no. 1, 103-116 ( with Shen, Yi-Bing ).
Preprints:
1) Singular limits of Kähler-Ricc flow on Fano $G$-manifolds, (with Yan Li, Gang Tian), arXiv:1807.09167
2) The Fu-Yau equation on compact astheno-Kähler manifolds, (with Jianchun Chu, Liding Huang), arXiv:1803.01475
3) The Fu-Yau equation in higher dimensions, (with Jianchun Chu, Liding Huang), arXiv: 1801.09351
4) $G$-Sasaki manifolds and K-energy, (with Yan Li, Xiaohua Zhu), arXiv:1712.07934
5) Higher dimensional steady Ricci solitons with linear curvature decay, (with Yuxing Deng), arXiv:1710.07815
6) The $2$-nd Hessian type equation on almost Hermitian manifolds, (with Jianchun Chu, Liding Huang), arXiv:1707.04072
7) Asymptotic behavior of positively curved steady Ricci Solitons, II, (with Yuxing Deng)
arXiv:1604.00142
8) Steady Ricci solitons with horizontally $ε$-pinched Ricci curvature, (with Yuxing Deng), arXiv:1601.02111
9) Perelman's W-functional and stability of Kähler-Ricci flow, (with Gang Tian), arXiv:0801.3504
