南通大学学报(自然科学版)Issue(2):63-65,3.
关于收缩或稳定的梯度Ricci孤立子的数量曲率估计的一个简要证明
A Simple Proof of the Scalar Curvature Estimate for a Shrinking or Steady Gradient Ricci Soliton
摘要
Abstract
The lower bound estimate for the scalar curvature of a shrinking or steady gradient Ricci soliton is very use-ful for studying the estimates of the growth of the potential function and the volume. In this paper , by using the Laplacian comparison theorem in smooth metric measure spaces , a simple proof of this scalar curvature estimate is obtained.关键词
数量曲率估计/梯度Ricci孤立子/黎曼流形Key words
scalar curvature estimate/gradient Ricci soliton/Riemannian manifold分类
数理科学引用本文复制引用
谢飞,毛晶晶,胡玲娟,王林峰..关于收缩或稳定的梯度Ricci孤立子的数量曲率估计的一个简要证明[J].南通大学学报(自然科学版),2014,(2):63-65,3.基金项目
国家自然科学基金项目 ()