Musical Isomorphisms on the Semi-Tensor Bundles

Year 2018, Volume: 6 Issue: 1, 171 - 177, 15.04.2018

Semra Yurttançıkmaz , Furkan Yıldırım

Abstract

We transfer vertical lifts and complete lifts of some tensor fields from the semi-tangent bundle $tM$ to the semi-cotangent bundle $t^{\ast }M$ \ using a musical isomorphism between these bundles. In this article, we also analyze complete lift of vector and affinor (tensor of type $(1,1)$) fields for semi-tangent (pull-back) bundle $tM$. Finally, we study compatibility of transferring lifts with complete lifts in the semi-cotangent bundle $t^{\ast }M$.

Keywords

Semi-tensor bundle, complete lift, musical isomorphism, vector field, pull-back bundle

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