EIGENVALUES AND ENTROPIES UNDER THE HARMONIC-RICCI FLOW

被引：22

作者：

Li, Yi ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 267卷 / 01期

关键词：

Eigenvalue; entropies; harmonic-Ricci flow; harmonic-Ricci breathers;

D O I：

10.2140/pjm.2014.267.141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the author discusses the eigenvalues and entropies under the harmonic-Ricci flow, which is the Ricci flow coupled with the harmonic map flow. We give an alternative proof of results for compact steady and expanding harmonic-Ricci breathers. In the second part, we derive some monotonicity formulas for eigenvalues of the Laplacian under the harmonic-Ricci flow. Finally, we obtain the first variation of the shrinker and expanding entropies of the harmonic-Ricci flow.

引用

页码：141 / 184

页数：44

共 13 条

[1]

[Anonymous], 2008, THESIS U TEXAS AUSTI

[2] First eigenvalues of geometric operators under the Ricci flow [J].