Bakry-Emery curvature operator and Ricci flow

被引：2

作者：

Ruan, Qi-Hua ^{[1
]}

机构：

[1] Zhongshan Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Putian Univ, Dept Math, Putian 351100, Fujian, Peoples R China

来源：

POTENTIAL ANALYSIS | 2006年 / 25卷 / 04期

关键词：

Bakry-Emery curvature operator; Ricci flow; gradient estimates;

D O I：

10.1007/s11118-006-9029-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce some techniques of Bakry-Emery curvature operator to Ricci flow and prove the evolution equation for the Bakry-Emery scalar curvature. As its application, we can easily derive the Perelman's entropy functional monotonicity formula. We also discuss some gradient estimates of Ricci curvature and L-2-estimates of scalar curvature.

引用

页码：399 / 406

页数：8

共 7 条

[1]

Bakry D., 1985, LECT NOTES MATH, V1123, P177, DOI DOI 10.1007/BFB0075847

[2] Complete Riemannian manifolds with pointwise pinched curvature [J].

Chen, BL ;

Zhu, XP .

INVENTIONES MATHEMATICAE, 2000, 140 (02) :423-452

[3]

HAMILTON RS, 1982, J DIFFER GEOM, V17, P255

[4]

HUISKEN G, 1985, J DIFFER GEOM, V21, P47

[5]

Perelman G., 2002, ARXIV

[6]

QIAN Z, 2003, RICCI FLOW 3 MANIFOL

[7] Immortal solution of the Ricci flow [J].

Ruan, QH ;

Chen, ZH .

SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (Suppl 1) :217-224

← 1 →