Ladislav Adamec, "On the Routh Reduction of Variational Integrals. Part 1: The Classical Theory," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Ladislav Adamec. On the Routh Reduction of Variational Integrals. Part 1: The Classical Theory.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
On the Routh Reduction of Variational Integrals. Part 1: The Classical Theory
Author:
Abstract: 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.
Keywords:
Variational integral, Poincar´e-Cartan form, conservation law, Routh reduction, Jacobi-Maupertuis principle, infinitesimal symmetry, orbit space
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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