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A note on almost Yamabe solitons

Part of: Global differential geometry

Published online by Cambridge University Press:  29 November 2023

Wagner Oliveira Costa-Filho Open the ORCID record for Wagner Oliveira Costa-Filho [Opens in a new window]
Wagner Oliveira Costa-Filho*
Affiliation:
Campus Arapiraca, Federal University of Alagoas, CEP 57309-005, Arapiraca, Alagoas, Brazil
*
Corresponding author: Wagner Oliveira Costa-Filho; Email: wagner.filho@arapiraca.ufal.br
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Abstract

In this paper, we present a sufficient condition for almost Yamabe solitons to have constant scalar curvature. Additionally, under some geometric scenarios, we provide some triviality and rigidity results for these structures.

Keywords

Almost Yamabe solitonScalar curvatureClosed conformal vector fields

MSC classification

Primary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Secondary: 53C20: Global Riemannian geometry, including pinching 53C65: Integral geometry
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 66 , Issue 1 , January 2024 , pp. 183 - 187
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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