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Lifts of Derivations in the Coframe Bundle

Abstract

In this paper, using a decomposition formula for any derivations in the coframe bundle, a complete and horizontal lifts of derivations from manifold to its coframe bundle are determined and their properties are studied.

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Correspondence to Habil Fattayev.

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Salimov, A., Fattayev, H. Lifts of Derivations in the Coframe Bundle. Mediterr. J. Math. 17, 48 (2020). https://doi.org/10.1007/s00009-020-1481-0

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  • DOI: https://doi.org/10.1007/s00009-020-1481-0

Keywords

  • Coframe bundle
  • derivation
  • Lie derivation
  • complete lift
  • horizontal lift

Mathematics Subject Classification

  • 55R10
  • 53C05