Minimal surfaces of rotation in Finsler space with a Randers metric
type: Item
instance of: scholarly article
title: Minimal surfaces of rotation in Finsler space with a Randers metric
zbMATH Open document ID: 1066.53124
author: Marcelo Souza
author: Keti Tenenblat
published in: Mathematische Annalen
publication date: 2003-07-01T00:00:00Z
review text: This paper obtains some results related to minimal surfaces of rotation in three dimensional Randers spaces. As in the Riemannian case, these surfaces are generated by concave plane curves rotated around an axis perpendicular to a plane of symmetry. The Finsler nature of a space allows the generalization of Cauchy sequences to the distinction of forward and backward completeness. This is applied here to the metric on surfaces of rotation. There is a differential equation which characterizes the minimal surfaces for immersion in Randers spaces.
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 1944286
zbMATH Keywords: Finsler geometry
zbMATH Keywords: Randers space
zbMATH Keywords: minimal surface
reviewed by: Ralph G. Beil
MaRDI profile type: Publication
full work available at URL: s00208-002-0392-7
OpenAlex ID: W2008823207
DOI: 10.1007/S00208-002-0392-7
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description: scientific article; zbMATH DE number 1944286