2009•FilomatOpen access

Identities for curvature tensors in generalized Finsler space

Milan Lj. Zlatanović, Svetislav M. Minčić

Abstract

In the some previous works we have obtained several curvature tensors in the generalized Finsler space GFN (the space with non-symmetric basic tensor and non-symmetric connection in Rund's sence). In this work we study identities for the mentioned tensors (the antisymmetriy with respect of two indices, the cyclic symmetry, the symmetry with respect of pairs of indices).

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Key concepts: Mathematics, Curvature, Symmetry (geometry), Space (punctuation), Connection (principal bundle), Riemann curvature tensor, Tensor (intrinsic definition), Pure mathematics