Twisted and conical Kahler-Ricci solitons on Fano manifolds

被引：4
作者：
Jin, Xishen [1 ]
Liu, Jiawei [2 ]
Zhang, Xi [3 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
[3] Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 271卷 / 09期
关键词：
Kahler-Ricci soliton; Fano manifold; Conical metric; EINSTEIN-METRICS; CURVATURE; INEQUALITY; UNIQUENESS; INVARIANT;
D O I：
10.1016/j.jfa.2016.08.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first study the relationship between the existence of twisted Kahler-Ricci solitons and the properness of modified twisted K-energy. Approximating by a sequence of smooth twisted kahler-Ricci solitons, we obtain an existence result of conical Kahler-Ricci solitons. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：2396 / 2421
页数：26
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