# Variational calculus on Lie algebroids

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 2, page 356-380
- ISSN: 1292-8119

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topMartínez, Eduardo. "Variational calculus on Lie algebroids." ESAIM: Control, Optimisation and Calculus of Variations 14.2 (2008): 356-380. <http://eudml.org/doc/250369>.

@article{Martínez2008,

abstract = {
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
},

author = {Martínez, Eduardo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Variational calculus; Lagrangian mechanics; Lie algebroids; reduction of dynamical systems; Euler-Poincaré equations; Lagrange-Poincaré equations; variational calculus},

language = {eng},

month = {3},

number = {2},

pages = {356-380},

publisher = {EDP Sciences},

title = {Variational calculus on Lie algebroids},

url = {http://eudml.org/doc/250369},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Martínez, Eduardo

TI - Variational calculus on Lie algebroids

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/3//

PB - EDP Sciences

VL - 14

IS - 2

SP - 356

EP - 380

AB -
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.

LA - eng

KW - Variational calculus; Lagrangian mechanics; Lie algebroids; reduction of dynamical systems; Euler-Poincaré equations; Lagrange-Poincaré equations; variational calculus

UR - http://eudml.org/doc/250369

ER -

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