A Riemannian structure associated with a Finsler structure July 3 , 2009
نویسنده
چکیده
Given the Finsler structure (M, F) on a manifold M, a Riemannian structure (M, h) and a linear connection on M are defined. They are obtained as the " average " of the Finsler structure and the Chern connection. This linear connection is the Levi-Civita connection of the Riemannian metric h. The relation between parallel transport of the Chern connection and the Levi-Civita connection of h are showed. Similar results for curvature endomorphism are proved.
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