Higher-order Variational Calculus on Lie algebroids
classification
🧮 math-ph
math.DSmath.MPmath.OC
keywords
equationshigher-orderactionadmissiblealgebroidalgebroidscalculuscritical
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The equations for the critical points of the action functional defined by a Lagrangian depending on higher-order derivatives of admissible curves on a Lie algebroid are found. The relation with Euler-Poincar\'e and Lagrange Poincar\'e type equations is studied. Reduction and reconstruction results for such systems are established.
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