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Musical isomorphisms and problems of lifts

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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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ataturk University, Erzurum, 25240, Turkey

    Rabia Cakan, Kursat Akbulut & Arif Salimov

  2. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Az1001, 30, Istiglaliyyat str., Baku, Azerbaijan Republic

    Arif Salimov

Authors
  1. Rabia Cakan
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  2. Kursat Akbulut
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  3. Arif Salimov
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Corresponding author

Correspondence to Rabia Cakan.

Additional information

This work was supported by the Scientific and Technological Research Council of Turkey (No. 112T111).

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Cakan, R., Akbulut, K. & Salimov, A. Musical isomorphisms and problems of lifts. Chin. Ann. Math. Ser. B 37, 323–330 (2016). https://doi.org/10.1007/s11401-016-0980-6

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  • DOI: https://doi.org/10.1007/s11401-016-0980-6

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