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Kahler流形上有关Bakry-Emery曲率的Schur引理

黄广月

数学杂志2018,Vol.38Issue(2):214-216,3.
数学杂志2018,Vol.38Issue(2):214-216,3.

Kahler流形上有关Bakry-Emery曲率的Schur引理

A SCHUR'S LEMMA FOR BAKRY-EMERY RICCI CURVATURE ON K(A)HLER MANIFOLDS

黄广月1

作者信息

  • 1. 河南师范大学数学系,河南新乡453007
  • 折叠

摘要

Abstract

This paper is to derive a Schur's lemma for Bakry-Emery Ricci curvature onK(a)hler manifolds.That is,the equation Ri(j) + fi(j) =λgi(j) with two smooth real-valued functions f,λ is studied on K(a)hler manifolds.Bv the Bianchi identitv,we obtain that λ must be a constant.

关键词

Kahler流形/Schur引理/K(a)hler-Ricci孤立子

Key words

K(a)hler manifolds/Schur's lemma/K(a)hler-Ricci soliton

分类

数理科学

引用本文复制引用

黄广月..Kahler流形上有关Bakry-Emery曲率的Schur引理[J].数学杂志,2018,38(2):214-216,3.

基金项目

Supported by NSFC (11371018 ()

11671121) ()

Henan Provincial Key Teacher (2013GGJS-057) (2013GGJS-057)

IRTSTHN (14IRTSTHN023). (14IRTSTHN023)

数学杂志

OACSTPCD

0255-7797

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