Real Hypersurfaces with $^{*}$-Ricci Solitons of Non-flat Complex Space Forms

Abstract

Kaimakamis and Panagiotidou in [11] 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 a real hypersurface of a non-flat complex space form which admits a $^*$-Ricci soliton whose potential vector field belongs to the principal curvature space and the holomorphic distribution.