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Notes on m-quasi Yamabe gradient solitons.

Authors :
Poddar, Rahul
Sharma, Ramesh
Subramanian, Balasubramanian
Source :
Proceedings of the Indian Academy of Sciences: Mathematical Sciences; Jun2024, Vol. 134 Issue 1, p1-5, 5p
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
VECTOR fields
CURVATURE
SOLITONS

Details

Language :
English
ISSN :
02534142
Volume :
134
Issue :
1
Database :
Complementary Index
Journal :
Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
176338703
Full Text :
https://doi.org/10.1007/s12044-024-00775-5