Quasi-Einstein hypersurfaces of complex space forms

Xiaomin Chen

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arXiv · 1909.00753

Quasi-Einstein hypersurfaces of complex space forms

Xiaomin Chen

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Abstract

Based on a well-known fact that there are no Einstein hypersurfaces in a non-flat complex space form, in this article we study the quasi-Einstein condition, which is a generalization of an Einstein metric, on the real hyersurface of a non-flat complex space form. For the real hypersurface with quasi-Einstein metric of a complex Euclidean space, we also give a classification. Since a gradient Ricci soliton is a special quasi-Einstein metric, our results improve some conclusions of \cite{CK}.

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Xiaomin Chen. 2019-09-02. Quasi-Einstein hypersurfaces of complex space forms. https://arxiv.org/abs/1909.00753

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