Revisiting the geometry of horospheres of the hyperbolic space
type: Item
instance of: scholarly article
title: Revisiting the geometry of horospheres of the hyperbolic space
zbMATH Open document ID: 1504.53076
author: Henrique Fernandes de Lima
author: Antonio Gervasio Colares
author: Marco Antonio Lázaro Velásquez
published in: Monatshefte für Mathematik
publication date: 2022-10-21T00:00:00Z
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 7605279
zbMATH Keywords: hyperbolic space
zbMATH Keywords: complete two-sided hypersurfaces
zbMATH Keywords: horospheres
zbMATH Keywords: higher-order mean curvatures
zbMATH Keywords: \(r\)-minimal hypersurfaces
zbMATH Keywords: index of minimum relative nullity
MaRDI profile type: Publication
full work available at URL: s00605-022-01758-2
OpenAlex ID: W4293218904
Wikidata QID: Q114228820
cites work: Uniqueness of entire graphs in warped products
cites work: Uniqueness of constant mean curvature surfaces properly immersed in a slab
cites work: Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson–Walker spacetimes
cites work: Maximum Principles and Geometric Applications
cites work: Characterizing horospheres of the hyperbolic space via higher order mean curvatures
cites work: On the rigidity of hypersurfaces into space forms
cites work: On the geometry of horospheres
cites work: A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds
cites work: The geometry of closed conformal vector fields on Riemannian spaces
cites work: Embedded positive constant r-mean curvature hypersurfaces in Mm × R
cites work: Q3999385
cites work: RIGIDITY THEOREMS IN THE HYPERBOLIC SPACE
cites work: On Alexandrov-Bernstein theorems in hyperbolic space
cites work: Constant positive 2-mean curvature hypersurfaces
cites work: On the completeness of nullity foliations
cites work: Q3262807
cites work: Existence of constant mean curvature graphs in hyperbolic space
cites work: Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
cites work: Q3210491
cites work: Q3567945
cites work: Isometric immersions of Riemannian manifolds
cites work: Variational properties of functions of the mean curvatures for hypersurfaces in space forms
cites work: Q4271943
cites work: Harmonic functions on complete riemannian manifolds
DOI: 10.1007/S00605-022-01758-2
description: scientific article; zbMATH DE number 7605279