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Automorphisms for Connections on Lie Algebroids

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Abstract

Given a Lie algebroid \(A\rightarrow M\), the relation between covariant derivatives and sprays on A is obtained. Moreover, the notion of an (infinitesimal) automorphism preserving the covariant derivative and its relation with the corresponding spray is introduced.

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Authors and Affiliations

  1. Unidad Asociada ULL-CSIC “Geometría Diferencial y Mecánica Geométrica” Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de la Laguna, La Laguna, Spain

    David Iglesias Ponte

  2. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Madrid, Spain

    Víctor M. Jiménez

Authors
  1. David Iglesias Ponte
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  2. Víctor M. Jiménez
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Correspondence to David Iglesias Ponte.

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Iglesias Ponte, D., Jiménez, V.M. Automorphisms for Connections on Lie Algebroids. Mediterr. J. Math. 15, 104 (2018). https://doi.org/10.1007/s00009-018-1151-7

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  • DOI: https://doi.org/10.1007/s00009-018-1151-7

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