Classes of Finsler spaces with \((\alpha,\beta)\)-metrics

DOI10.1016/S0034-4877(01)90004-7zbMath0997.53060OpenAlexW2077911381MaRDI QIDQ5933508

Vasile Sorin Sabau, Hideo Shimada

Publication date: 23 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(01)90004-7

zbMATH Keywords

Kropina classMatsumoto classRanders class

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (13)

ON HERMITIAN P-COMPLEX FINSLER SPACE WITH SPECIAL (α, β)-METRIC ⋮ Deformed Infinite series metric in Cartan Spaces ⋮ On the geometry of Randers manifolds ⋮ Unnamed Item ⋮ Finsler-Lagrange spaces with \((\alpha , \beta )\)-metrics and Ingarden spaces ⋮ On the \(\mathcal{L}\)-duality of a Finsler space with exponential metric \({\alpha}e^{\beta/\alpha}\) ⋮ ON SEMI-C-REDUCIBILITY OF (α, β)-METRICS ⋮ Constant Curvature Conditions For Generalized Kropina Spaces ⋮ On an R-Randers \(m\)th-root space ⋮ REVERSIBLE GEODESICS FOR (α, β)-METRICS ⋮ Invariant \((\alpha , \beta)\)-metrics on homogeneous manifolds ⋮ The Deformation of an $(\alpha, \beta)$-Metric ⋮ The variational problem in lagrange spaces endowed with a special type of (α,β)-metrics

Cites Work

• On invariant tensors of \(\beta\)-changes of Finsler metrics
• On Finsler spaces with Kropina metric
• The theory of sprays and Finsler spaces with applications in physics and biology
• The geometry of Lagrange spaces: theory and applications
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
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