Musical Isomorphisms on the Semi-Tensor Bundles

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Konuralp Journal of Mathematics
Volume:6 Issue:1
Musical Isomorphisms on the Semi-Tensor Bundles

Musical Isomorphisms on the Semi-Tensor Bundles

Authors : Semra YURTTANÇIKMAZ, Furkan YILDIRIM

Pages : 171-177

View : 17 | Download : 16

Publication Date : 2018-04-15

Article Type : Research Paper

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 insert ignore into journalissuearticles values(tensor of type $insert ignore into journalissuearticles values(1,1);$); fields for semi-tangent insert ignore into journalissuearticles values(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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