Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
34 (1993), S. 4898-4913
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A theory of Finslerian structures is presented using an unpublished method of Clifton. It consists of using Cartan's moving frame method with fields of special bases, and the Cartan calculus of tensor-valued forms with nonredundant coordinates on sphere bundles (which are the base spaces of the Finsler bundles). The formulation only requires a modicum of new concepts and does not involve Lagrangians at any fundamental level, including the definitions of metrics and connections. Finslerian connections on Riemannian (and even flat) metrics are discussed. The invariant forms of the sphere bundle of Minkowski space are obtained. The possibility of describing equations of motion through autoparallels, rather than extremals, is illustrated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530331
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