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On scalar curvature of r-almost Yamabe solitons
Journal article   Peer reviewed

On scalar curvature of r-almost Yamabe solitons

Antonio W. Cunha, Eudes L. de Lima and Mohammed Danish Siddiqi
Journal of geometry and physics, Vol.175, p.104472
01/05/2022
DOI: https://doi.org/10.1016/j.geomphys.2022.104472

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
The aim of this work is to study constant scalar curvature metrics of r-almost Yamabe solitons immersed into a Riemannian manifold. We deal with the compact and complete cases to obtain that an r-Yamabe soliton must have constant scalar curvature and some triviality results. Moreover, we also prove a Schur type inequality.(c) 2022 Elsevier B.V. All rights reserved.

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