The twisted conical Kähler-Ricci solitons on Fano manifolds

被引：0

作者：

Jin, Xishen ^{[1
]}

Liu, Jiawei ^{[2
]}

机构：

[1] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 05期

基金：

中国国家自然科学基金;

关键词：

greatest log Bakry-Emery-Ricci lower bound; twisted conical Kahler-Ricci soliton; twisted Kahler-Ricci soliton; KAHLER-EINSTEIN METRICS; GREATEST LOWER BOUNDS; RICCI CURVATURE; TIME BEHAVIOR; SINGULARITIES; CONTINUITY; UNIQUENESS; INVARIANT; EQUATIONS; ENERGY;

D O I：

10.1007/s11425-022-2125-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show the relation between the existence of twisted conical Kahler-Ricci solitons and the greatest log Bakry-Emery-Ricci lower bound on Fano manifolds. This is based on our proofs of some openness theorems on the existence of twisted conical Kahler-Ricci solitons, which generalize Donaldson's existence conjecture and the openness theorem of the conical Kahler-Einstein metrics to the conical soliton case.

引用

页码：1085 / 1102

页数：18

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