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.
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页码：165 / 175
页数：11
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