ON CURVATURE TENSORS OBTAINED BY TWO NON-SYMMETRIC LINEAR CONNECTIONS

Svetislav M. Minčić

DOI Number
https://doi.org/10.22190/FUMI240122010M
First page
123
Last page
137

Abstract


n the cited papers [1, 2, 8, 9, 10, 12, 14], curvature tensors are considered by polylinear mappings, using non-symmetric connections. In the rest of the works from the References, the curvature tensors are obtained by help of Riccy-type identities in local coordinates. In this paper, the problem is considered more generally using polylinear mappings, after which eight curvature tensor fields are obtained. Further, it is proved that among these fields, five of them are independent, while the rest are linear combinations of the cited five fields


Keywords

non-symmetric connection, curvature tensors, independent curvature tensors

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References


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DOI: https://doi.org/10.22190/FUMI240122010M

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