On the 1953 Barthel connection of a Finsler space and its mathematical and physical interpretation

DOI10.1016/0034-4877(93)90070-UzbMath0794.53043OpenAlexW1974922471MaRDI QIDQ1322742

Roman S. Ingarden, Makoto Matsumoto

Publication date: 5 May 1994

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

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90070-u

zbMATH Keywords

Cartan connectionBarthel connectionadjoint Riemannian space

Mathematics Subject Classification ID

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

Related Items (5)

The point Finsler spaces and their physical applications in electron optics and thermodynamics ⋮ An equivalence of Finslerian relativistic theories ⋮ Research of gravitation in flat Minkowski space ⋮ Special coordinate systems in pseudo-Finsler geometry and the equivalence principle ⋮ A divergence theorem for pseudo-Finsler spaces

Cites Work

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• Finsler geometry, relativity and gauge theories
• Theory of Y-extremal and minimal hypersurfaces in a Finsler space. On Wegener's and Barthel's theories
• On parabolic geometry and irreversible macroscopic time
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric
• On the differential geometry of frame bundles
• Zur geometrischen Begründung der Parallelverschiebung in Finslerschen Räumen

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