Some characterizations of quasi Yamabe solitons

Some characterizations of quasi Yamabe solitons

In this article, we have proved some results in connection with the potential vector field having finite global norm in quasi Yamabe soliton. We have derived some criteria for the potential vector field on the non-positive Ricci curvature of the quasi Yamabe soliton. Also, a necessary condition for...

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Veröffentlicht in:Journal of geometry 2023-04, Vol.114 (1), Article 3
Hauptverfasser: Shaikh, Absos Ali, Mandal, Prosenjit
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Curvature
Fields (mathematics)
Geometry
Mathematics
Mathematics and Statistics
Solitary waves
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description In this article, we have proved some results in connection with the potential vector field having finite global norm in quasi Yamabe soliton. We have derived some criteria for the potential vector field on the non-positive Ricci curvature of the quasi Yamabe soliton. Also, a necessary condition for a compact quasi Yamabe soliton has been formulated. We further showed that if the potential vector field has a finite global norm in a complete non-trivial, non-compact quasi Yamabe soliton with finite volume, then the scalar curvature becomes constant and the soliton reduces to a Yamabe soliton.
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Mathematics and Statistics
Solitary waves
title Some characterizations of quasi Yamabe solitons
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