Invariant \((\alpha, \beta)\)-metric of Douglas and Berwald type

DOI10.5831/hmj.2024.46.2.198MaRDI QIDQ6633468

Gauree Shanker, Kirandeep Kaur

Publication date: 5 November 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Douglas metricBerwald metricinfinite series \((\alpha, \beta)\)-metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Lie algebras of Lie groups (22E60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Cites Work

• Curvatures of homogeneous Randers spaces
• Homogeneous \((\alpha,\beta)\)-metrics of Douglas type
• The theory of sprays and Finsler spaces with applications in physics and biology
• The general geometry of paths.
• The group of isometries of a Finsler space.
• Naturally reductive homogeneous space with an invariant \((\alpha,\beta)\)-metric
• Homogeneous Finsler spaces with exponential metric
• Finsler geometry is just Riemannian geometry without the quadratic restriction.
• On a class of Douglas metrics
• Homogeneous Finsler spaces with some special $(\alpha, \beta)$-metrics
• On an Asymmetrical Metric in the Four-Space of General Relativity
• Invariant Affine Connections on Homogeneous Spaces
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