Naturally reductive homogeneous space with an invariant \((\alpha,\beta)\)-metric

DOI10.1134/S1995080219020136zbMath1418.53079OpenAlexW2942089918MaRDI QIDQ2003082

Gauree Shanker, Kirandeep Kaur

Publication date: 15 July 2019

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

Full work available at URL: https://doi.org/10.1134/s1995080219020136

zbMATH Keywords

flag curvatureexponential metrichomogeneous Finsler spacebi-invariant Riemannian metricnaturally reductive homogeneous Finsler space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (6)

Homogeneous Finsler spaces with exponential metric ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric ⋮ Unnamed Item ⋮ Homogeneous Finsler spaces with some special $(\alpha, \beta)$-metrics

Cites Work

• Homogeneous geodesics in homogeneous Finsler spaces
• On the flag curvature of invariant Randers metrics
• Curvatures of left invariant metrics on Lie groups
• The theory of sprays and Finsler spaces with applications in physics and biology
• Flag curvatures of homogeneous Finsler spaces
• Optimal pinching constants of odd dimensional homogeneous spaces
• The group of isometries of a Finsler space.
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
• Invariant Matsumoto metrics on homogeneous spaces
• On the flag curvature of invariant (α,β)-metrics
• Homogeneous Finsler Spaces
• Invariant Randers metrics on homogeneous Riemannian manifolds
• Induced Invariant Finsler Metrics on Quotient Groups
• The flag curvature of invariant (α, β)-metrics of type \frac{(\alpha+\beta)^2}{\alpha}
• Invariant Finsler metrics on homogeneous manifolds
• On Flag Curvature of Homogeneous Randers Spaces
• Geodesic Vector fields of invariant $(\alpha,\beta)$-metrics on Homogeneous spaces
• On the curvature of invariant Kropina metrics
• 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
• Naturally reductive homogeneous Finsler spaces
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