The twisted conical Kahler-Ricci solitons on Fano manifolds  

作　　者：Xishen Jin Jiawei Liu 

机构地区：[1]School of Mathematics,Renmin University of China,Beijing 100872,China [2]School of Mathematics and Statistics,Nanjing University of Science&Technology,Nanjing 210094,China

出　　处：《Science China Mathematics》2024年第5期1085-1102,共18页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.12001532);supported by the Special Priority Program SPP 2026“Geometry at Infinity”from the German Research Foundation(DFG)。

摘　　要：In this paper,we show the relation between the existence of twisted conical K?hler-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 K?hler-Einstein metrics to the conical soliton case.

关 键 词：greatest log Bakry-Emery-Ricci lower bound twisted conical Kahler-Ricci soliton twisted Kahler-Ricci soliton 

分 类 号：O186.1[理学—数学]