Trapping quasiminimizing submanifolds in spaces of negative curvature
type: Item
instance of: scholarly article
title: Trapping quasiminimizing submanifolds in spaces of negative curvature
zbMATH Open document ID: 0856.53047
DOI: 10.1007/BF02566412
author: Victor Bangert
author: Urs Lang
published in: Commentarii Mathematici Helvetici
publication date: 1997-02-24T00:00:00Z
full work available at URL: https://eudml.org/doc/140393
review text: M. Morse proved a trapping result for quasi-geodesic curves in Hadamard manifolds, namely that the segment lies within bounded distance from the geodesic arc connecting its endpoints. The authors prove an analogous trapping result for quasiminimizing submanifolds in Hadamard manifolds \(M\) whose sectional curvature is also bounded from below and use this estimate to solve existence of asymptotic Plateau problems.
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 872641
zbMATH Keywords: quasiminimizing submanifold
zbMATH Keywords: minimal submanifold
zbMATH Keywords: Hadamard manifold
zbMATH Keywords: asymptotic Plateau problem
reviewed by: Konrad Polthier
MaRDI profile type: Publication
Wikidata QID: Q125577657
description: scientific article; zbMATH DE number 872641