On the stability of minimal immersions into Finsler manifolds
type: Item
instance of: scholarly article
title: On the stability of minimal immersions into Finsler manifolds
zbMATH Open document ID: 1252.53070
author: D. Kharzeev
published in: Differential Geometry and its Applications
publication date: 2012-10-11T00:00:00Z
review text: The purpose of this paper is to study the second variation of the volume and the stability of minimal submanifolds in Finsler geometry. As application, the authors consider the stability of minimal immersions into Minkowski spaces. A Bernstein type theorem is obtained. An example of an unstable minimal surface in \((\alpha , \beta )\)-Minkowski spaces is derived.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 6092688
zbMATH Keywords: Finsler manifold
zbMATH Keywords: minimal immersion
zbMATH Keywords: second variation
zbMATH Keywords: stability
zbMATH Keywords: Bernstein type theorem
MaRDI profile type: Publication
full work available at URL: j.difgeo.2012.04.006
OpenAlex ID: W2032898825
Wikidata QID: Q115356717
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DOI: 10.1016/J.DIFGEO.2012.04.006
description: scientific article; zbMATH DE number 6092688