On the formula of Ślebodziński for Lie derivative of tensor fields in a differential space

Hanna Matuszczyk

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In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in $M_{n}$ can be extended to the tensor bundle $T_{q}^{0} (M_{n})$ $(q > 0)$ on the The results obtained are to some extend similar to results previously established for cotangent bundles $T_{1}^{0} (M_{n})$ . However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle $T_{q}^{0} (M_{n})$ $(q > 1)$ on the presents difficulties which are not encountered in the...