Rigidity results for quotient almost Yamabe solitons
Differential Geometry
2020-11-10 v1
Abstract
In this paper we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because they extend quite naturally those called quotient Yamabe solitons. We then present sufficient conditions for a compact quotient almost Yamabe soliton to be either trivial or isometric with an Euclidean sphere. We also characterize noncompact quotient gradient almost Yamabe solitons satisfying certain conditions on both its Ricci tensor and potential function.
Keywords
Cite
@article{arxiv.2011.03569,
title = {Rigidity results for quotient almost Yamabe solitons},
author = {Marcelo Bezerra Barboza and Willian Isao Tokura and Elismar Dias Batista and Priscila Marques Kai},
journal= {arXiv preprint arXiv:2011.03569},
year = {2020}
}