Conformal geometry of complete quasi Yamabe gradient solitons

The purpose of this work is to study the conformal geometry of complete quasi Yamabe gradient solitons, which correspond to an interesting generalization for gradient Yamabe solitons. In this sense, we present a rigidity result for complete quasi Yamabe gradient solitons with constant scalar curvatu...

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Bibliographic Details
Published in:Archiv der Mathematik 2024-08, Vol.123 (2), p.211-224
Main Authors: da Silva Filho, Joao Francisco, Fernandes, Larissa Braga
Format: Article
Language:English
Subjects:
Curvature
Mathematics
Mathematics and Statistics
Solitary waves
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Summary:The purpose of this work is to study the conformal geometry of complete quasi Yamabe gradient solitons, which correspond to an interesting generalization for gradient Yamabe solitons. In this sense, we present a rigidity result for complete quasi Yamabe gradient solitons with constant scalar curvature. Moreover, we prove that quasi Yamabe gradient solitons can be conformally changed to constant scalar curvature.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-024-02016-7