Contact hypersurfaces of a complex hyperbolic space
type: Item
instance of: scholarly article
title: Contact hypersurfaces of a complex hyperbolic space
zbMATH Open document ID: 0636.53060
author: Michael H. Vernon
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1987-01-01T00:00:00Z
review text: It is shown that complete connected contact hypersurfaces of \({\mathbb{C}}H^ n(-4)\) (complex hyperbolic space with Bergman metric), \(n\geq 3\), are congruent to totally geodesic hypersurfaces, horospheres or tubes of positive radii around totally geodesic n-dimensional real hyperbolic space forms imbedded in \({\mathbb{C}}H^ n(-4)\). The author uses the congruence results of his paper ``Some families of isoparametric hypersufaces and rigidity in a complex hyperbolic space'' (to appear).
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 4036667
zbMATH Keywords: contact structure
zbMATH Keywords: contact hypersurfaces
zbMATH Keywords: complex hyperbolic space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178228324
OpenAlex ID: W2045864953
cites work: Contact manifolds in Riemannian geometry
cites work: Q5678153
cites work: Two theorems on Kähler manifolds
cites work: Pseudo-Einstein real hypersurfaces in complex space forms
cites work: On some real hypersurfaces of a complex hyperbolic space
cites work: Contact hypersurfaces in certain Kaehlerian manifolds
cites work: Some Families of Isoparametric Hypersurfaces and Rigidity in a Complex Hyperbolic Space
DOI: 10.2748/TMJ/1178228324
description: scientific article; zbMATH DE number 4036667