Quasi-Einstein Hypersurfaces of Complex Space Forms
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8891658 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850175461453201408 |
|---|---|
| author | Xuehui Cui Xiaomin Chen |
| author_facet | Xuehui Cui Xiaomin Chen |
| author_sort | Xuehui Cui |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c00d5ca9137a4b24a98518fda27ec166 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c00d5ca9137a4b24a98518fda27ec1662025-08-20T02:19:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/88916588891658Quasi-Einstein Hypersurfaces of Complex Space FormsXuehui Cui0Xiaomin Chen1College of Science, China University of Petroleum-Beijing, Beijing 102249, ChinaCollege of Science, China University of Petroleum-Beijing, Beijing 102249, ChinaBased 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.http://dx.doi.org/10.1155/2020/8891658 |
| spellingShingle | Xuehui Cui Xiaomin Chen Quasi-Einstein Hypersurfaces of Complex Space Forms Advances in Mathematical Physics |
| title | Quasi-Einstein Hypersurfaces of Complex Space Forms |
| title_full | Quasi-Einstein Hypersurfaces of Complex Space Forms |
| title_fullStr | Quasi-Einstein Hypersurfaces of Complex Space Forms |
| title_full_unstemmed | Quasi-Einstein Hypersurfaces of Complex Space Forms |
| title_short | Quasi-Einstein Hypersurfaces of Complex Space Forms |
| title_sort | quasi einstein hypersurfaces of complex space forms |
| url | http://dx.doi.org/10.1155/2020/8891658 |
| work_keys_str_mv | AT xuehuicui quasieinsteinhypersurfacesofcomplexspaceforms AT xiaominchen quasieinsteinhypersurfacesofcomplexspaceforms |