Coframe bundle and problems of lifts on its cross-sections

Authors: ARIF SALIMOV, HABIL FATTAEV

Abstract: The main purpose of this paper is to study the complete and horizontal lifts of vector and tensor fields of type (1,1) on cross-sections in the coframe bundle. Explicit formulas of these lifts are obtained. Finally, complete lifts of almost complex structures restricted to almost analytic cross-sections are investigated.

Keywords: Coframe bundle, cross-section, Tachibana operator, Nijenhuis-Shirokov tensor, almost complex structure

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