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Foliated Hopf hypersurfaces in complex hyperbolic quadrics

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Bibliographic Details
Main Author: Jürgen, Berndt
Format: Book
Language:English
Published: Springer 2023
Subjects:
contact geometry
tensorial characterization of contact hypersurfaces
Online Access:https://link.springer.com/article/10.1007/s10231-022-01254-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7456
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spelling 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

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