On some real hypersurfaces of a complex hyperbolic space
type: Item
instance of: scholarly article
title: On some real hypersurfaces of a complex hyperbolic space
zbMATH Open document ID: 0587.53052
DOI: 10.1007/BF00164402
author: Alfonso Romero
author: Sebastián Montiel
published in: Geometriae Dedicata
publication date: 1986-01-01T00:00:00Z
review text: The authors classify real hypersurfaces of a complex hyperbolic space \({\mathbb{C}}H^ n\) whose second fundamental form and induced almost contact structure commute. The Hopf fibration from Okumura's theory [see \textit{M. Okumura}, Trans. Am. Math. Soc. 212, 355-364 (1975; Zbl 0288.53043)] is replaced here by the \(S^ 1\)-fibration \(\pi\) : \(H_ 1^{2n+1}\to {\mathbb{C}}H^ n\) of the anti-de Sitter space \(H_ 1^{2n+1}\) over \({\mathbb{C}}H^ n\).
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 3942414
zbMATH Keywords: real hypersurfaces
zbMATH Keywords: complex hyperbolic space
zbMATH Keywords: almost contact structure
zbMATH Keywords: anti-de Sitter space
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00164402
OpenAlex ID: W2091189565
description: scientific article; zbMATH DE number 3942414