Quasi‐Einstein Hypersurfaces of Complex Space Forms

Xuehui Cui and Xiaomin Chen

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: Based on a well‐known fact that there are no Einstein hypersurfaces in a nonflat complex space form, in this article, we study the quasi‐Einstein condition, which is a generalization of an Einstein metric, on the real hypersurface of a nonflat 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 Cho and Kimura.

Date: 2020
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https://doi.org/10.1155/2020/8891658

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8891658

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