An entropy formula relating Hamilton's surface entropy and Perelman's W entropy

被引：6

作者：

Guo, Hongxin ^{[1
]}

机构：

[1] Wenzhou Univ, Sch Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2013年 / 351卷 / 3-4期

关键词：

D O I：

10.1016/j.crma.2013.03.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, based on Hamilton's surface entropy formula, we construct an entropy formula of Perelman's type for the Ricci flow on a closed surface with positive curvature. Similar to Perelman's W entropy, the critical point of our entropy is the gradient shrinking soliton; however, there is no conjugate heat equation involved. This shows a close relation between Hamilton's entropy and Perelman's W entropy on closed surfaces. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：115 / 118

页数：4