paper

Remark on conservation laws associated with non-Noether symmetries

arXiv:math-ph/0207021

Abstract

In the present paper geometric aspects of relationship between non-Noether symmetries and conservation laws in Hamiltonian systems is discussed. It is shown that integrals of motion associated with continuous non-Noether symmetry are in involution whenever generator of the symmetry satisfies certain Yang-Baxter equation.

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Remark on conservation laws associated with non-Noether symmetries · wovepaper