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.

Bibliographic Details
Authors: Fedorov, Yuri|||0000-0002-7533-975X, Jovanovic, Bozidar D.
Format: article
Publication Date:2003
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/917
Online Access:https://hdl.handle.net/2117/917
Access Level:Open access
Keyword: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
Description
Summary: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.