Notes on m-quasi Yamabe gradient solitons

被引:0
|
作者
Poddar, Rahul [1 ]
Sharma, Ramesh [2 ]
Subramanian, Balasubramanian [1 ]
机构
[1] Prasanthi Nilayam, Sri Sathya Sai Inst Higher Learning, Puttaparthi 515134, India
[2] Univ New Haven, West Haven, CT 06516 USA
关键词
m-Quasi Yamabe gradient soliton; Yamabe flow; constant scalar curvature; Ricci tensor; CLASSIFICATION;
D O I
10.1007/s12044-024-00775-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We derive a divergence formula for an m-quasi Yamabe gradient soliton with finite m, and use it to give a short proof of the result "A compact m-quasi Yamabe gradient soliton (M-n,g), n >= 3, with finite m, has constant scalar curvature". We also show that an m-quasi Yamabe gradient soliton with finite m and positive scalar curvature, whose soliton vector field leaves the Ricci tensor invariant, is shrinking and has constant scalar curvature.
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页数:5
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