On Gradient Shrinking and Expanding Kahler-Ricci Solitons

被引：1

作者：

Zhang, Liangdi ^{[1
,2
]}

机构：

[1] Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China

[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 01期

关键词：

Gradient Kahler-Ricci soliton; rigidity; classification; CLASSIFICATION; RIGIDITY;

D O I：

10.1007/s00009-021-01928-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a compact gradient shrinking Kahler-Ricci soliton with subharmonic scalar curvature is Kahler-Einstein. Moreover, we show that a complete noncompact gradient shrinking Kahler-Ricci soliton with constant scalar curvature and nonnegative fourth-order divergence curvature (or Bochner) tensor is rigid. We also derive a classification theorem for complete noncompact gradient expanding Kahler-Ricci solitons.

引用

页数：12

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