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Keywords:
Lift; tensor bundle; pure tensor; operator Yano--Ako
Lift; tensor bundle; pure tensor; operator Yano--Ako
Summary:
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 \textit{pure cross-section.} 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 \textit{pure cross-section} presents difficulties which are not encountered in the case of the cotangent bundle.
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