On Decomposition for Curvature Tensor K_jkh^i in Generalized K_(B)-Quad-Recurrent Space
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Abstract
This paper discusses the decomposition for curvature tensor in generalized recurrent space of fourth order. We explore the decomposition tensors and are generalized -quad-recurrent tensor under two decomposition forms. If the recurrence covariant tensors and have symmetry and skew-symmetric properties, then we get various identities belong to the main space. Moreover, new formula for Cartan's 4th curvature tensor has been obtained under the decomposition.
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