paper

Goldfish geodesics and Hamiltonian reduction of matrix dynamics

arXiv:math-ph/0702091 · doi:10.1007/s11005-008-0232-0

Abstract

We relate free vector dynamics to the eigenvalue motion of a time-dependent real-symmetric NxN matrix, and give a geodesic interpretation to Ruijsenaars Schneider models.

8 pages

Goldfish geodesics and Hamiltonian reduction of matrix dynamics · wovepaper