The twisted conical K?hler-Ricci solitons on Fano manifolds

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外文摘要：In this paper,we show the relation between the existence of twisted conical Kähler-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 Kähler-Ricci solitons,which generalize Donaldson's existence conjecture and the openness theorem of the conical Kähler-Einstein metrics to the conical soliton case.

外文关键词：

greatest log Bakry-Emery-Ricci lower boundtwisted conical Kähler-Ricci solitontwisted Kähler-Ricci soliton

作者：

Xishen Jin、Jiawei Liu

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作者单位：

School of Mathematics,Renmin University of China,Beijing 100872,China

School of Mathematics and Statistics,Nanjing University of Science&Technology,Nanjing 210094,China

基金：

National Natural Science Foundation of ChinaSpecial Priority Program SPP 2026"Geometry at Infinity"from the German Research Foundation(DFG)

项目编号：

12001532

出版年：

2024

DOI：

10.1007/s11425-022-2125-3

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(5)