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Notes on m-quasi Yamabe gradient solitons.
- 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 :
- VECTOR fields
CURVATURE
SOLITONS
Subjects
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