Simon Hochgerner

most citedChaplygin systems associated to Cartan decompositions of semi-simple Lie algebras

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 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

$G$ -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 $n$ -dimensional Chaplygin sphere system as an almost Hamiltonian system on $T^{*} S O (n)$ with internal symmetry group $S O (n - 1)$ . We show how thi…

Chaplygin systems associated to Cartan decompositions of semi-simple Lie algebras

G-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball

$G$ -Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball