Finsler spaces with Riemannian geodesics

Details Finsler spaces with Riemannian geodesics Finsler spaces with Riemannian geodesics

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991gregr..23.1071r&link_type=abstract

General Relativity and Gravitation, Volume 23, Issue 9, pp.1071-1080

Computer Science

6

Scientific paper

In Finsler spaces the intervalds=F(x i ,dx i ) is an arbitrary function of the coordinatesx i and coordinate incrementsdx i withF homogeneous of degree one in thedx i . It is shown that for Riemannian spacesds R 2=g ij dx i dx i which admit a non trivial covariantly constant tensorH i .(x k ) there is an associated Finsler space with the same geodesic structure. The subset of such Finsler spaces withH i .(x k ) a vector or second rank decomposable tensor is determined.

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