Real hypersurfaces in complex space forms with special almost contact structures
In this paper, we prove that an almost contact metric structure of a real hypersurface in a complex space form is quasi-contact if and only if it is contact. We also classify real hypersurfaces whose associated almost contact metric structures are nearly Kenmotsu or cosymplectic, which gives several...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231391?viewType=HTML |
| _version_ | 1797659814178848768 |
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| author | Quanxiang Pan |
| author_facet | Quanxiang Pan |
| author_sort | Quanxiang Pan |
| collection | DOAJ |
| description | In this paper, we prove that an almost contact metric structure of a real hypersurface in a complex space form is quasi-contact if and only if it is contact. We also classify real hypersurfaces whose associated almost contact metric structures are nearly Kenmotsu or cosymplectic, which gives several extensions of some earlier results in this field. |
| first_indexed | 2024-03-11T18:20:39Z |
| format | Article |
| id | doaj.art-f58e35572aeb4bbdbcd8dbe2cc6243f6 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T18:20:39Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-f58e35572aeb4bbdbcd8dbe2cc6243f62023-10-16T01:23:31ZengAIMS PressAIMS Mathematics2473-69882023-09-01811272002720910.3934/math.20231391Real hypersurfaces in complex space forms with special almost contact structuresQuanxiang Pan0School of Science, Henan Institute of Technology, Henan 453003, ChinaIn this paper, we prove that an almost contact metric structure of a real hypersurface in a complex space form is quasi-contact if and only if it is contact. We also classify real hypersurfaces whose associated almost contact metric structures are nearly Kenmotsu or cosymplectic, which gives several extensions of some earlier results in this field.https://www.aimspress.com/article/doi/10.3934/math.20231391?viewType=HTMLreal hypersurfacenonflat complex space formalmost contact metric structure |
| spellingShingle | Quanxiang Pan Real hypersurfaces in complex space forms with special almost contact structures AIMS Mathematics real hypersurface nonflat complex space form almost contact metric structure |
| title | Real hypersurfaces in complex space forms with special almost contact structures |
| title_full | Real hypersurfaces in complex space forms with special almost contact structures |
| title_fullStr | Real hypersurfaces in complex space forms with special almost contact structures |
| title_full_unstemmed | Real hypersurfaces in complex space forms with special almost contact structures |
| title_short | Real hypersurfaces in complex space forms with special almost contact structures |
| title_sort | real hypersurfaces in complex space forms with special almost contact structures |
| topic | real hypersurface nonflat complex space form almost contact metric structure |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231391?viewType=HTML |
| work_keys_str_mv | AT quanxiangpan realhypersurfacesincomplexspaceformswithspecialalmostcontactstructures |