English

Goldfish geodesics and Hamiltonian reduction of matrix dynamics

Mathematical Physics 2009-11-13 v1 math.MP

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.

Cite

@article{arxiv.math-ph/0702091,
  title  = {Goldfish geodesics and Hamiltonian reduction of matrix dynamics},
  author = {Joakim Arnlind and Martin Bordemann and Jens Hoppe and Choonkyu Lee},
  journal= {arXiv preprint arXiv:math-ph/0702091},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-07-22T16:29:16.489Z