Quasi-Einstein Hypersurfaces of Complex Space Forms
| Autor: | Xuehui Cui, Xiaomin Chen |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Advances in Mathematical Physics, Vol 2020 (2020) |
| Druh dokumentu: | article |
| ISSN: | 1687-9120 1687-9139 |
| DOI: | 10.1155/2020/8891658 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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