The relation between automorphism group and isometry group of Randers Lie groups

DOI10.1007/s00025-010-0081-xzbMath1254.58002arXiv1305.2851OpenAlexW2117762756WikidataQ57705993 ScholiaQ57705993MaRDI QIDQ1758333

Hamid Reza Salimi Moghaddam

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2851

zbMATH Keywords

automorphism groupisometry groupsimply connected Lie groupleft invariant Randers metric

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) General properties and structure of real Lie groups (22E15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (3)

On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups ⋮ On the existence of homogeneous geodesics in homogeneous Kropina spaces ⋮ Randers Ricci soliton homogeneous nilmanifolds

Cites Work

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• On the flag curvature of invariant Randers metrics
• Some Berwald spaces of non-positive flag curvature
• Finsler geometry, relativity and gauge theories
• Curvatures of left invariant metrics on Lie groups
• The theory of sprays and Finsler spaces with applications in physics and biology
• Invariant Randers metrics on homogeneous Riemannian manifolds
• On the Geometry of some Para-hypercomplex Lie groups
• Induced Invariant Finsler Metrics on Quotient Groups
• Randers metrics of Berwald type on four-dimensional hypercomplex Lie groups
• Invariant Finsler metrics on homogeneous manifolds
• Flag curvature of invariant Randers metrics on homogeneous manifolds
• On an Asymmetrical Metric in the Four-Space of General Relativity
• Invariant Affine Connections on Homogeneous Spaces

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