On Finsler spaces with Kropina metric

DOI10.1016/0034-4877(78)90024-1zbMath0389.53008OpenAlexW2022953109MaRDI QIDQ1250999

Choko Shibata

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0034-4877(78)90024-1

Mathematics Subject Classification ID

Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (30)

On homogeneous weakly stretch Finsler metrics ⋮ Theory of Finsler spaces with \((\alpha,\beta)\)-metric ⋮ The conformal vector fields on conic Kropina manifolds via navigation data ⋮ GENERALIZED β-CONFORMAL CHANGE AND SPECIAL FINSLER SPACES ⋮ On special forms of \(C_{i| j}\) and \(T_{ij}\) in Finsler spaces ⋮ On spherically symmetric Finsler metrics with some non-Riemannian curvature properties ⋮ Yamabe problem for Kropina metrics ⋮ On Kropina metrics of scalar flag curvature ⋮ Finsler geometry for nonlinear path of fluids flow through inhomogeneous media ⋮ A class of homogeneous Finsler metrics ⋮ On a class of stretch metrics in Finsler geometry ⋮ The conformal vector fields on Kropina manifolds ⋮ On weakly stretch Kropina metrics ⋮ Unnamed Item ⋮ C-free Finsler spaces. Finsler spaces with Randers metric and Kropina metric ⋮ Unnamed Item ⋮ On Finsler geometry of thermodynamical states introduced by R. S. Ingarden ⋮ The CR problem and Hurwitz pairs applied to field theory and solid state physics ⋮ On some Lagrangian model concerning the solitary waves ⋮ Projectively flat Finsler spaces with \((\alpha{},\beta{})\)-metric ⋮ Riemannian and Finslerian geometry in thermodynamics ⋮ On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric ⋮ Classes of Finsler spaces with \((\alpha,\beta)\)-metrics ⋮ GENERALIZED β-CONFORMAL CHANGE OF FINSLER METRICS ⋮ Time-optimal solutions of parallel navigation and Finsler geodesics ⋮ Kropina metrics and Zermelo navigation on Riemannian manifolds ⋮ \((\alpha,\beta)\)-metrics satisfying the \(T\)-condition or the \(\sigma T\)-condition ⋮ On Homogeneous Randers Metrics ⋮ On conformal transformations of Kropina metric ⋮ A new class of projectively flat Finsler metrics with constant flag curvature \(K=1\)

Cites Work

• On Finsler spaces with Randers' metric and special forms of important tensors
• On conformal transformations of Finsler metrics
• V-transformations of Finsler spaces. I: Definition, infinitesimal transformations and isometries
• On Finsler and Cartan geometries. 3. Two-dimensional Finsler spaces with rectilinear extremals
• Über Finslersche und Cartansche Geometrie. IV. Projektivkrümmung allgemeiner affiner Räume und Finslerscher Räume skalarer Krümmung
• A Theorem on Homogeneous Functions
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