English

Real hypersurfaces with $^{*}$-Ricci solitons of non-flat complex space forms

Differential Geometry 2019-09-05 v1

Abstract

Kaimakamis and Panagiotidou in \cite{KP} introduced the notion of ^*-Ricci soliton and studied the real hypersurfaces of a non-flat complex space form admitting a ^*-Ricci soliton whose potential vector field is the structure vector field. In this article, we consider that a real hypersurface of a non-flat complex space form admits a ^*-Ricci soliton whose potential vector field belongs to the principal curvature space and the holomorphic distribution.

Keywords

Cite

@article{arxiv.1711.06384,
  title  = {Real hypersurfaces with $^{*}$-Ricci solitons of non-flat complex space forms},
  author = {Xiaomin Chen},
  journal= {arXiv preprint arXiv:1711.06384},
  year   = {2019}
}

Comments

accepted by Tokyo Journal of Mathematics