The Poisson equation on compact Ricci solitons and Ricci-harmonic solitons

被引：0
|
作者：
Costa Filho, Wagner Oliveira [1 ]
机构：
[1] Univ Fed Alagoas, Campus Arapiraca, BR-57309005 Arapiraca, AL, Brazil
来源：
JOURNAL OF GEOMETRY | 2023年 / 114卷 / 02期
关键词：
Shrinking Ricci solitons; Poisson equation; Ricci-harmonic solitons;
D O I：
10.1007/s00022-023-00675-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this short note, we derive another proof of a theorem due to Chen and Deshmukh (Balk J Geom Appl 19(1):13-21, 2014) on a characterization of compact shrinking trivial Ricci solitons with scalar curvature satisfying a Poisson equation. Moreover, as a new result, we recall that a version of this theorem holds to the case of compact domain manifolds of shrinking Ricci-harmonic solitons.
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页数：7
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