Integrable nonholonomic geodesic flows on compact Lie groups

This paper is a review of recent results on integrable nonholonomic geodesic flows of left–invariant metrics and left- and right–invariant constraint distributions on compact Lie groups.

Detalles Bibliográficos
Autores: Fedorov, Yuri|||0000-0002-7533-975X, Jovanovic, Bozidar D.
Tipo de recurso: artículo
Fecha de publicación:2003
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/917
Acceso en línea:https://hdl.handle.net/2117/917
Access Level:acceso abierto
Palabra clave:Hamiltonian systems
Lagrangian functions
Hamiltonian dynamical systems
Compact Lie Groups
Hamilton, Sistemes de
Lagrange, Funcions de
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Descripción
Sumario:This paper is a review of recent results on integrable nonholonomic geodesic flows of left–invariant metrics and left- and right–invariant constraint distributions on compact Lie groups.