Geometric rigidity of gradient almost Ricci solitons induced by conformal vector fields

Adara M. Blaga and Akram Ali

Chaos, Solitons & Fractals, 2026, vol. 209, issue P2

Abstract: This study establishes rigidity properties and provides classification results for gradient almost Ricci solitons within the presence of a conformal vector field. It is proven that a compact and boundaryless gradient almost Ricci soliton of constant scalar curvature that admits a nonhomothetic closed conformal vector field is isometric to a Euclidean sphere. It is also shown that under certain assumptions, a complete noncompact gradient almost Ricci soliton admitting a nonparallel gradient conformal vector field is a conformally Euclidean space or it is isometric to a warped product of an open real interval and an Einstein manifold. These results extend the work done by da Silva Filho and by Hwang and Yun in this sense.

Keywords: Gradient almost Ricci soliton; Conformal vector field; Euclidean sphere; Einstein manifold (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:209:y:2026:i:p2:s0960077926007174

DOI: 10.1016/j.chaos.2026.118576

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