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Foliated Hopf hypersurfaces in complex hyperbolic quadrics - MaRDI portal

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Foliated Hopf hypersurfaces in complex hyperbolic quadrics

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Publication:6392980

DOI10.1007/S10231-022-01254-2arXiv2203.03205WikidataQ115605901 ScholiaQ115605901MaRDI QIDQ6392980

Author name not available (Why is that?)

Publication date: 7 March 2022

Abstract: This paper deals with a limiting case motivated by contact geometry. The limiting case of a tensorial characterization of contact hypersurfaces in Kahler 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 Kahler 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. These are the first known examples of such real hypersurfaces in irreducible Kahler manifolds.





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