Jacobi fields for second-order differential equations on Lie algebroids

José F.  Cariñena; Irina  Gheorghiu; Eduardo Martínez

doi:10.3934/proc.2015.0213

Article Contents

2015, Volume 2015: 213-222. Doi: 10.3934/proc.2015.0213 open access

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Jacobi fields for second-order differential equations on Lie algebroids

1.
IUMA and Department of Theoretical Physics, University of Zaragoza
2.
Department of Theoretical Physics, University of Zaragoza
3.
IUMA and Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009 Zaragoza

Received: August 31, 2014

Revised: December 31, 2014

Published: October 2015

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Abstract

We generalize the concept of Jacobi field for general second-order differential equations on a manifold and on a Lie algebroid. The Jacobi equation is expressed in terms of the dynamical covariant derivative and the generalized Jacobi endomorphism associated to the given differential equation.

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Mathematics Subject Classification: 34A26, 58Z05, 58Cxx.

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References

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