Musical Isomorphisms and Problems of Lifts

Citation:

R. Cakan,K. Akbulut,A. Salimov.Musical Isomorphisms and Problems of Lifts[J].Chinese Annals of Mathematics B,2016,37(3):323~330
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Authors:

R. Cakan; K. Akbulut;A. Salimov

Foundation:

This work was supported by the Scientific and Technological Research Council of Turkey (No.112T111)
Abstract: Using the complete lift on tangent bundles, the authors construct the complete lift on cotangent bundles of tensor fields with the aid of a musical isomorphism. In this new framework, the authors have a new intrepretation of the complete lift of tensor fields on cotangent bundles.

Keywords:

Tensor fields, Cotangent bundles, Complete lift, Anti-Hermitian metric, Riemannian extension

Classification:

53A45, 55R10, 53C56
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