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

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  • Blaga, Adara M.
  • Ali, Akram

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.

Suggested Citation

  • Blaga, Adara M. & Ali, Akram, 2026. "Geometric rigidity of gradient almost Ricci solitons induced by conformal vector fields," Chaos, Solitons & Fractals, Elsevier, vol. 209(P2).
    • Handle: RePEc:eee:chsofr:v:209:y:2026:i:p2:s0960077926007174
    DOI: 10.1016/j.chaos.2026.118576
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