4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.DG2009★ 4 cited
Chaplygin systems associated to Cartan decompositions of semi-simple Lie algebras
Simon Hochgerner
We relate a Chaplygin type system to a Cartan decomposition of a real semi-simple Lie group. The resulting system is described in terms of the structure theory associated to the Ca…
math-ph2008
-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball
Simon Hochgerner, Luis Garcia-Naranjo
Via compression ([11, 7]) we write the -dimensional Chaplygin sphere system as an almost Hamiltonian system on with internal symmetry group . We show how thi…
math.SG2004
Singular cotangent bundle reduction and spin Calogero-Moser systems
Simon Hochgerner
We develop a bundle picture for the case that the configuration manifold has only a single isotropy type, and give a formula for the reduced symplectic form in this setting. Furthe…