Almost Ricci solitons isometric to spheres

被引：21
|
作者：
Deshmukh, Sharief [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2019年 / 16卷 / 05期
关键词：
Almost Ricci soliton; Poisson equation; isometric to sphere; CURVATURE; COMPACT;
D O I：
10.1142/S0219887819500737
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We find a characterization of a sphere using a compact gradient almost Ricci soliton and the lower bound on the integral of Ricci curvature in the direction of potential field. Also, we use Poisson equation on a compact gradient almost Ricci soliton to find a characterization of the unit sphere.
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页数：9
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