On the theory of fields in Finsler spaces

DOI10.1063/1.525032zbMath0464.53028OpenAlexW2061455064MaRDI QIDQ3915589

Satoshi Ikeda

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525032

zbMATH Keywords

gauge fieldlocally Minkowski spacesFinslerian field theoryFinslerian vector fieldy- dependence

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (6)

On Finsler geometry and applications in mechanics: review and new perspectives ⋮ Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ Finsler gravitational waves of (α, β)-type and their observational signature ⋮ Connection Structures of Topological Singularity in Micromechanics from a Viewpoint of Generalized Finsler Space ⋮ Finsler geometry of topological singularities for multi-valued fields: Applications to continuum theory of defects ⋮ Finsler geometry of nonlinear elastic solids with internal structure

Cites Work

• Unnamed Item
• Nonlinear realizations of space-time symmetries. Scalar and tensor gravity
• New general relativity
• Mach's Principle and a Relativistic Theory of Gravitation
• On the conservation laws in the theory of fields in Finsler spaces
• Die differentialgeometrie in der verallgemeinerten mannigfaltigkeit
• General relativity with spin and torsion: Foundations and prospects
• Quantum Theory of Non-Local Fields. Part I. Free Fields

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