Finslerian deviations of geodesics over tangent bundle
type: Item
instance of: scholarly article
title: Finslerian deviations of geodesics over tangent bundle
zbMATH Open document ID: 0763.53027
DOI: 10.1016/0034-4877(91)90040-T
published in: Reports on Mathematical Physics
publication date: 1993-01-16T00:00:00Z
review text: The profound role of the equation of deviations of Riemannian geodesics has been recognized in the general relativity for a long time. In the present paper the geodesic deviation equation is given in the framework of the fibered Finslerian gauge approach, under the general conditions when all the Finslerian curvature and torsion tensors are taken into account. The Yang-Mills-type gauge tensor proves to govern the behaviour of the vertical part of the Finslerian deviation, thereby exhibiting its observable nature.
reviewed by: F. C. Klepp
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 89984
zbMATH Keywords: geodesic deviation equation
zbMATH Keywords: gauge tensor
author: Gennadii S. Asanov
author: P. C. Stavrinos
MaRDI profile type: Publication
cites work: Q3263435
cites work: Q3260127
cites work: Problems of Finslerian theory of gauge fields and gravitation
cites work: Finslerian fibered extension of gauge field theory: Lie-invariance in fibres and effective Lagrangian
cites work: Finsler geometry, relativity and gauge theories
cites work: Q3940446
full work available at URL: 0034-4877(91)90040-t
OpenAlex ID: W1965439620
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description: scientific article; zbMATH DE number 89984