English

On conformal collineation and almost Ricci solitons

Differential Geometry 2025-08-04 v4

Abstract

We provide conditions for a Riemannian manifold with a nontrivial closed affine conformal Killing vector field to be isometric to a Euclidean sphere or to the Euclidean space. Also, we formulate some triviality results for almost Ricci solitons with affine conformal Killing potential vector field.

Keywords

Cite

@article{arxiv.2210.05284,
  title  = {On conformal collineation and almost Ricci solitons},
  author = {Adara M. Blaga and Bang-Yen Chen},
  journal= {arXiv preprint arXiv:2210.05284},
  year   = {2025}
}

Comments

13 pages