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L-2 Extensions with Singular Metrics on Kahler Manifolds 期刊论文
ACTA MATHEMATICA SCIENTIA, 2021, 卷号: 41, 期号: 6, 页码: 2021-2038
Authors:  Zhou, Xiangyu;  Zhu, Langfeng
Favorite  |  View/Download:79/0  |  Submit date:2022/04/02
singular metric  optimal L-2 extension theorem  strong openness of multiplier ideal sheaf  generalized Siu's lemma  weakly pseudoconvex Kahler manifold  
OPTIMAL L-2 EXTENSION OF SECTIONS FROM SUBVARIETIES IN WEAKLY PSEUDOCONVEX MANIFOLDS 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2020, 卷号: 309, 期号: 2, 页码: 475-510
Authors:  Zhou, Xiangyu;  Zhu, Langfeng
Favorite  |  View/Download:93/0  |  Submit date:2021/04/26
optimal L-2 extension  plurisubharmonic function  multiplier ideal sheaf  strong openness  weakly pseudoconvex manifold  Kahler manifold  
Linear invariants of complex manifolds and their plurisubharmonic variations 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 卷号: 279, 期号: 1, 页码: 27
Authors:  Deng, Fusheng;  Wang, Zhiwei;  Zhang, Liyou;  Zhou, Xiangyu
Favorite  |  View/Download:103/0  |  Submit date:2020/05/24
Linear isometry  Plurisubharmonic variation  Positivity of direct image sheaves  Teichmuller metric  
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 35
Authors:  Guo, Zongming;  Li, Jiayu;  Wan, Fangshu
Favorite  |  View/Download:127/0  |  Submit date:2020/09/23
Semilinear elliptic equation  asymptotic behavior  conical metric  isolated singularity  
Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces 期刊论文
MANUSCRIPTA MATHEMATICA, 2020, 页码: 31
Authors:  Kuwada, Kazumasa;  Li, Xiang-Dong
Favorite  |  View/Download:130/0  |  Submit date:2020/05/24
BOCHER-TYPE THEOREM ON N-DIMENSIONAL MANIFOLDS WITH CONICAL METRIC 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 147, 期号: 10, 页码: 4527-4538
Authors:  Li, Jiayu;  Wan, Fangshu
Favorite  |  View/Download:77/0  |  Submit date:2019/10/28
Laplace's equation  Bocher-type theorem  Liouville-type theorem  singular manifolds  conical metric  
AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS 期刊论文
JOURNAL OF DIFFERENTIAL GEOMETRY, 2018, 卷号: 110, 期号: 1, 页码: 135-186
Authors:  Zhou, Xiangyu;  Zhu, Langfeng
Favorite  |  View/Download:98/0  |  Submit date:2018/10/07
Optimal L-2 extension  singular Hermitian metric  plurisubharmonic function  weakly pseudoconvex manifold  Kahler manifold  
AN OPTIMAL L-2 EXTENSION THEOREM ON WEAKLY PSEUDOCONVEX KAHLER MANIFOLDS 期刊论文
JOURNAL OF DIFFERENTIAL GEOMETRY, 2018, 卷号: 110, 期号: 1, 页码: 135-186
Authors:  Zhou, Xiangyu;  Zhu, Langfeng
Favorite  |  View/Download:134/0  |  Submit date:2018/10/07
Optimal L-2 extension  singular Hermitian metric  plurisubharmonic function  weakly pseudoconvex manifold  Kahler manifold  
THE KAHLER-RICCI FLOW, RICCI-FLAT METRICS AND COLLAPSING LIMITS 期刊论文
AMERICAN JOURNAL OF MATHEMATICS, 2018, 卷号: 140, 期号: 3, 页码: 653-698
Authors:  Tosatti, Valentino;  Weinkove, Ben;  Yang, Xiaokui
Favorite  |  View/Download:109/0  |  Submit date:2018/07/30
Liouville theorems for self-similar solutions of heat flows 期刊论文
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009, 卷号: 11, 期号: 1, 页码: 207-221
Authors:  Li, Jiayu;  Wang, Meng
Favorite  |  View/Download:72/0  |  Submit date:2018/07/30
Harmonic sphere  self-similar solution  quasi-harmonic sphere  heat flow