English

Conformal Ricci solitons on generalized ($\kappa, \mu$)-space forms

Differential Geometry 2023-03-20 v1

Abstract

In this paper, we study conformal Ricci solitons and conformal gradient Ricci solitons on generalized (κ,μ\kappa,\mu)-space forms. The conditions for the solitons to be shrinking, steady, and expanding are derived in terms of conformal pressure p. We show under what conditions a Ricci semi-symmetric generalized (κ,μ\kappa,\mu)-space form equipped with a conformal Ricci soliton forms an Einstein manifold.

Keywords

Cite

@article{arxiv.2303.10159,
  title  = {Conformal Ricci solitons on generalized ($\kappa, \mu$)-space forms},
  author = {Mehraj Ahmad Lone and Towseef Ali Wani},
  journal= {arXiv preprint arXiv:2303.10159},
  year   = {2023}
}