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A note on warped product almost quasi-Yamabe solitons

Differential Geometry 2025-08-04 v3 Mathematical Physics math.MP

Abstract

We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of constant scalar curvature. We also provide necessary and sufficient conditions for a gradient almost quasi-Yamabe soliton on the base manifold to induce a gradient almost quasi-Yamabe soliton on the warped product manifold.

Keywords

Cite

@article{arxiv.1804.05393,
  title  = {A note on warped product almost quasi-Yamabe solitons},
  author = {Adara M. Blaga},
  journal= {arXiv preprint arXiv:1804.05393},
  year   = {2025}
}

Comments

12 pages. arXiv admin note: text overlap with arXiv:1705.04092