Foliated Hopf hypersurfaces in complex hyperbolic quadrics
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10231-022-01254-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7456 |
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oai:localhost:PNK-74562023-04-03T09:31:54Z Foliated Hopf hypersurfaces in complex hyperbolic quadrics Jürgen, Berndt contact geometry tensorial characterization of contact hypersurfaces CC BY This paper deals with a limiting case motivated by contact geometry. The limiting case of a tensorial characterization of contact hypersurfaces in Kähler manifolds leads to Hopf hypersurfaces whose maximal complex subbundle of the tangent bundle is integrable. It is known that in non-flat complex space forms and in complex quadrics such real hypersurfaces do not exist, but the existence problem in other irreducible Kähler manifolds is open. In this paper we construct explicitly a one-parameter family of homogeneous Hopf hypersurfaces, whose maximal complex subbundle of the tangent bundle is integrable, in a Hermitian symmetric space of non-compact type and rank two. 2023-04-03T09:31:54Z 2023-04-03T09:31:54Z 2022 Book https://link.springer.com/article/10.1007/s10231-022-01254-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7456 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
contact geometry tensorial characterization of contact hypersurfaces |
| spellingShingle |
contact geometry tensorial characterization of contact hypersurfaces Jürgen, Berndt Foliated Hopf hypersurfaces in complex hyperbolic quadrics |
| description |
CC BY |
| format |
Book |
| author |
Jürgen, Berndt |
| author_facet |
Jürgen, Berndt |
| author_sort |
Jürgen, Berndt |
| title |
Foliated Hopf hypersurfaces in complex hyperbolic quadrics |
| title_short |
Foliated Hopf hypersurfaces in complex hyperbolic quadrics |
| title_full |
Foliated Hopf hypersurfaces in complex hyperbolic quadrics |
| title_fullStr |
Foliated Hopf hypersurfaces in complex hyperbolic quadrics |
| title_full_unstemmed |
Foliated Hopf hypersurfaces in complex hyperbolic quadrics |
| title_sort |
foliated hopf hypersurfaces in complex hyperbolic quadrics |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10231-022-01254-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7456 |
| _version_ |
1762184305485807616 |
| score |
8.891787 |