Gap theorems for Ricci-harmonic solitons

被引：12

作者：

Tadano, Homare ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, 1-1 Machikaneyama, Toyonaka, Osaka 5600043, Japan

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2016年 / 49卷 / 02期

关键词：

Ricci-harmonic flow; Ricci-harmonic soliton; Harmonic-Einstein; Gap theorem; MAP FLOW;

D O I：

10.1007/s10455-015-9485-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using estimates for the generalized Ricci curvature, we shall give some gap theorems for Ricci-harmonic solitons with compact domain manifolds by showing some necessary and sufficient conditions for the solitons to be harmonic-Einstein. Our results may be regarded as generalizations of recent works by H. Li, and M. Fernandez-Lpez and E. Garcia-Rio.

引用

页码：165 / 175

页数：11

共 17 条

[1]

[Anonymous], 2003, RICCI FLOW SURGERY 3

[2]

[Anonymous], 2003, ARXIVMATH0307245

[3]

[Anonymous], ARXIVMATH0211159

[4]

[Anonymous], 2006, Grad. Stud. Math