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Conformal geometry of complete quasi Yamabe gradient solitons.

Authors :
da Silva Filho, Joao Francisco
Fernandes, Larissa Braga
Source :
Archiv der Mathematik; Aug2024, Vol. 123 Issue 2, p211-224, 14p
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0003889X
Volume :
123
Issue :
2
Database :
Complementary Index
Journal :
Archiv der Mathematik
Publication Type :
Academic Journal
Accession number :
178655482
Full Text :
https://doi.org/10.1007/s00013-024-02016-7