Goldfish geodesics and Hamiltonian reduction of matrix dynamics

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.

arXiv comment8 pages

References in corpus (1)

• The Ruijsenaars-Schneider Model

Cited by in corpus (4)

• $\mathcal{N}$-extended supersymmetric Calogero models
• Supersymmetric many-body Euler-Calogero-Moser model
• Ruijsenaars-Schneider three-body models with N=2 supersymmetry
• N=2 supersymmetric extensions of relativistic Toda lattice