Remark on conservation laws associated with non-Noether symmetries

Physics – Mathematical Physics

Scientific paper

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LaTeX 2e, 6 pages, no fogures

Scientific paper

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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