On the structure vector field of a real hypersurface in complex quadric
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact. In such cases we classify real hypersurfaces whose structure vector field is of...
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-03-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2018-0021 |
| _version_ | 1831582318257504256 |
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| author | Dios Pérez Juan de |
| author_facet | Dios Pérez Juan de |
| author_sort | Dios Pérez Juan de |
| collection | DOAJ |
| description | From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact. In such cases we classify real hypersurfaces whose structure vector field is of Jacobi type. |
| first_indexed | 2024-12-17T20:21:23Z |
| format | Article |
| id | doaj.art-444d6736a28b45ae9976b83ac291d187 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T20:21:23Z |
| publishDate | 2018-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-444d6736a28b45ae9976b83ac291d1872022-12-21T21:33:55ZengDe GruyterOpen Mathematics2391-54552018-03-0116118518910.1515/math-2018-0021math-2018-0021On the structure vector field of a real hypersurface in complex quadricDios Pérez Juan de0Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, SpainFrom the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact. In such cases we classify real hypersurfaces whose structure vector field is of Jacobi type.https://doi.org/10.1515/math-2018-0021real hypersurfacescomplex quadricjacobi type vector fieldstructure vector fieldkilling vector field53c4053c15 |
| spellingShingle | Dios Pérez Juan de On the structure vector field of a real hypersurface in complex quadric Open Mathematics real hypersurfaces complex quadric jacobi type vector field structure vector field killing vector field 53c40 53c15 |
| title | On the structure vector field of a real hypersurface in complex quadric |
| title_full | On the structure vector field of a real hypersurface in complex quadric |
| title_fullStr | On the structure vector field of a real hypersurface in complex quadric |
| title_full_unstemmed | On the structure vector field of a real hypersurface in complex quadric |
| title_short | On the structure vector field of a real hypersurface in complex quadric |
| title_sort | on the structure vector field of a real hypersurface in complex quadric |
| topic | real hypersurfaces complex quadric jacobi type vector field structure vector field killing vector field 53c40 53c15 |
| url | https://doi.org/10.1515/math-2018-0021 |
| work_keys_str_mv | AT diosperezjuande onthestructurevectorfieldofarealhypersurfaceincomplexquadric |