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arXiv · 1711.06384

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

Xiaomin Chen
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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.

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Xiaomin Chen. 2017-11-17. Real hypersurfaces with $^{*}$-Ricci solitons of non-flat complex space forms. https://doi.org/10.3836/tjm%2F1502179275

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