Finslerian deviations of geodesics over tangent bundle
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.
scientific article; zbMATH DE number 89984
scientific article