Invariant Finsler metrics on polar homogeneous spaces
type: Item
instance of: scholarly article
title: Invariant Finsler metrics on polar homogeneous spaces
zbMATH Open document ID: 1205.53079
author: Shaoqiang Deng
published in: Pacific Journal of Mathematics
publication date: 2010-11-01T00:00:00Z
review text: The paper presents some interesting results concerning invariant Finsler metrics on polar homogeneous spaces. A fundamental problem in Riemann-Finsler geometry is to classify Finsler metrics with certain special properties on a given manifold. The paper considers this problem for invariant Finsler metrics on homogeneous manifolds. Namely, the paper gives a classification of invariant Finsler metrics on polar homogeneous manifolds (Section 3) and a classification of invariant Finsler metrics in general (Section 4). Finally, a complete classification of invariant Randers metrics on polar homogeneous manifolds (Section 6) is given.
reviewed by: Le Anh Vu
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 5809031
zbMATH Keywords: polar actions
zbMATH Keywords: Minkowski representations
zbMATH Keywords: generalized rank
zbMATH Keywords: Berwald spaces
zbMATH Keywords: Randers metrics
MaRDI profile type: Publication
full work available at URL: pjm.2010.247.47
OpenAlex ID: W2080729044
DOI: 10.2140/PJM.2010.247.47
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description: scientific article; zbMATH DE number 5809031