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

Autor: Chen, Xiaomin
Rok vydání: 2017
Předmět:
Zdroj: Tokyo Journal of Mathematics, 2018
Druh dokumentu: Working Paper
DOI: 10.3836/tjm/1502179275
Popis: 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.
Comment: accepted by Tokyo Journal of Mathematics
Databáze: arXiv