Finsler geometry without line elements faced to applications.

DOI10.1016/S0034-4877(03)80017-4zbMath1055.53018OpenAlexW1974096974WikidataQ125800611 ScholiaQ125800611MaRDI QIDQ595930

Lajos Tamássy, László Kozma

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(03)80017-4

zbMATH Keywords

Minkowski spaceFinsler spaceaffine deformationindicatrix1-form metric

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (7)

Finsler connection for general Lagrangian systems ⋮ Shen's \(L\)-process on Berwald connection ⋮ Finsleroid-Finsler spaces of positive-definite and relativistic types ⋮ On the twisted product of Finsler manifolds ⋮ Finsleroid-relativistic time-asymmetric space and quantized fields ⋮ Super Finsler connection of superparticle on two-dimensional curved spacetime ⋮ Characterization of geodesics in the small in multidimensional psychological spaces

Cites Work

• Curvature in Hilbert geometries
• Finsler geometry, relativity and gauge theories
• Minimal ellipsoids and their duals
• Finsler manifolds modeled on a Minkowski space
• Generalized-Finslerian connection coefficients for the static spherically symmetric space
• The point Finsler spaces and their physical applications in electron optics and thermodynamics
• The theory of sprays and Finsler spaces with applications in physics and biology
• Generalization of the Hilbert metric to the space of positive definite matrices
• Finsler metrics on symmetric cones
• On some Finsler structures of symmetric cones
• Sub-Finslerian Metric Associated to an Optimal Control System
• Geometry of the Katok examples
• Multidimensional Fechnerian scaling: basics
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