On the sub-Riemannian geodesic flow for the Goursat distribution

DOI10.1134/S0037446616010018zbMath1356.53036WikidataQ115248450 ScholiaQ115248450MaRDI QIDQ299148

Sergey Agapov

Publication date: 22 June 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

optimal controlgeodesic flowsub-Riemannian geometryGoursat distribution

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Sub-Riemannian geometry (53C17)

Cites Work

• Unnamed Item
• Control theory on Lie groups
• Control theory from the geometric viewpoint.
• Integrable geodesic flows of nonholonomic metrics
• Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
• The geodesic flow of a sub-Riemannian metric on a solvable Lie group
• Goursat distribution and sub-Riemannian structures