Homogeneity of magnetic trajectories in the real special linear group

Abstract

We prove the homogeneity of contact magnetic curves in the real special linear group of degree $2$. Every contact magnetic trajectory is a product of a homogeneous geodesic and a charged Reeb flow.

arXiv comment14 pages

References in corpus (6)

• Integrable geodesic flow with positive topological entropy
• Magnetic curves in the real special linear group
• Non-commutative Integrability, Moment Map and Geodesic Flows
• Geodesic flows on Riemannian g.o. spaces
• Invariant minimal surfaces in the real special linear group of degree 2
• Chaos and integrability in SL(2,R)-geometry

Cited by in corpus (1)

• Homogeneity of magnetic trajectories in the Berger sphere