PARTIAL REDUCTIONS OF HAMILTONIAN FLOWS AND HESS-APPEL’ROT SYSTEMS ON SO(n)

نویسنده

  • BOŽIDAR JOVANOVIĆ
چکیده

We study reductions of the Hamiltonian flows restricted to their invariant submanifolds. As examples, we consider partial Lagrange-Routh reductions of the natural mechanical systems such as geodesic flows on compact Lie groups and n-dimensional variants of the classical Hess-Appel’rot case of a heavy rigid body motion about a fixed point. MSC: 37J35, 37J15, 53D20

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تاریخ انتشار 2006