Geodesic flow on SL(2,\({\mathbb{R}})\) with nonholonomic constraints

DOI10.1007/BF01247085zbMath0673.58034MaRDI QIDQ1120877

V. Ya. Gershkovich, Anatoly M. Vershik

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/188541

zbMATH Keywords

variational problemconstraintleft-invariant metricnonholonomic geodesic flowleft-invariant nonintegrable distributionnonholonomic analysiswith constraint

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Vector distributions (subbundles of the tangent bundles) (58A30) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items

Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions, Sub-Riemannian geometry of parallelizable spheres, Reduction of some classical non-holonomic systems with symmetry, The Schouten curvature tensor and the Jacobi equation in sub-Riemannian geometry

Cites Work

• Geodesics of Pfaffians