Invariant Matsumoto metrics on homogeneous spaces

zbMath1287.53066arXiv1305.2861MaRDI QIDQ2446406

Hamid Reza Salimi Moghaddam

Publication date: 16 April 2014

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2861

zbMATH Keywords

homogeneous spaceFinsler metricflag curvatureinvariant Matsumoto metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Lie algebras of Lie groups (22E60) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (5)

Unnamed Item ⋮ On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups ⋮ Naturally reductive homogeneous space with an invariant \((\alpha,\beta)\)-metric ⋮ On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric ⋮ On the flag curvature of invariant (α,β)-metrics

Cites Work

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• The flag curvature of invariant (α, β)-metrics of type \frac{(\alpha+\beta)^2}{\alpha}
• Invariant Finsler metrics on homogeneous manifolds
• Flag curvature of invariant Randers metrics on homogeneous manifolds

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