Musical isomorphisms and problems of lifts

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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Authors

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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Keywords

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

2000 MR Subject Classification

  • 53A45
  • 55R10
  • 53C56