On the Routh reduction of variational integrals. Part 1: The classical theory.

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Authors

ADAMEC Ladislav

Year of publication 2012
Type Article in Periodical
Magazine / Source WSEAS TRANSACTIONS on MATHEMATICS
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Variational integral; Poincare-Cartan form; conservation law; Routh reduction
Description A geometrical approach to the reductions of one-dimensional first order variational integrals with respect to a Lie symmetry group is discussed. The method includes both the Routh reduction of cyclic variables and the Jacobi-Maupertuis reduction to the constant energy level. In full generality, it may be applied even to the Lagrange variational problems with higher order symmetries.
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