Immersions in a hyperbolic manifold
type: Item
instance of: scholarly article
title: Immersions in a hyperbolic manifold
zbMATH Open document ID: 0812.53008
published in: Collectanea Mathematica
publication date: 1995-02-22T00:00:00Z
full work available at URL: https://eudml.org/doc/39707
review text: This article is devoted to a description of some local differential geometric properties of immersions in a Klein hyperbolic space of dimension five. Using the Klein representation, we extend the results in [the first author and \textit{H. G. Ali-Shoukry}, Geometrical properties of complexes of harmonic rotation in \(H_ 3\). The 15 Annual Conference Math. 15, No. 5, 348-364 (1980)] some results for the Lipschitz-Killing curvature, mean curvature vector and scalar normal curvature are given. The methods adapted here are based on Cartan's calculus of moving frames.
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53A25
zbMATH DE Number: 724154
zbMATH Keywords: immersions
zbMATH Keywords: hyperbolic space
zbMATH Keywords: Lipschitz-Killing curvature
zbMATH Keywords: mean curvature
zbMATH Keywords: scalar normal curvature
author: M. A. Soliman
author: Nassar H. Abdel-All
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 724154