Real hypersurfaces of a complex hyperbolic space satisfying a pointwise nullity condition
type: Item
instance of: scholarly article
title: Real hypersurfaces of a complex hyperbolic space satisfying a pointwise nullity condition
zbMATH Open document ID: 0979.53059
author: Jong Taek Cho
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2002-02-17T00:00:00Z
review text: The author proves that horospheres, geodesic hyperspheres and tubes over \(\mathbb{C}H^{n-1}\) are, locally, the only real hypersurfaces of the complex hyperbolic space satisfying some pointwise curvature identities such as, e.g.: \(R(X,Y)\xi=k(g(Y,\xi)X-g(X,\xi)Y)\) for a function \(k\) and with \( \xi=JN\), \(N\) being the unit normal to the hypersurface.
reviewed by: Liviu Ornea
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1488396
zbMATH Keywords: \(k\)-nullity distribution
zbMATH Keywords: Weingarten operator
zbMATH Keywords: horosphere
zbMATH Keywords: geodesic sphere
zbMATH Keywords: real hypersurfaces
zbMATH Keywords: complex hyperbolic space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1488396