Invariant measures of Euler-Poincaré equations on Lie algebras

DOI10.1007/BF01077727zbMath0667.58038MaRDI QIDQ1117533

Valery V. Kozlov

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

invariant measureEuler-Poincaré equationsintegral invariant

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Ergodic theory (37A99)

Related Items (16)

Invariant nonholonomic Riemannian structures on three-dimensional Lie groups ⋮ Rolling balls over spheres in $ \newcommand{\m}{\mathfrak m} {\mathbb{R}^n}$ ⋮ Spherical and planar ball bearings --- nonholonomic systems with invariant measures ⋮ Gyroscopic Chaplygin systems and integrable magnetic flows on spheres ⋮ The dynamics of systems with servoconstraints. II ⋮ Spherical and planar ball bearings -- a study of integrable cases ⋮ Invariant measures of modified LR and L+R systems ⋮ The Hojman construction and hamiltonization of nonholonomic systems ⋮ On some aspects of the discretization of the Suslov problem ⋮ Reduction of Dirac structures and the Hamilton-Pontryagin principle ⋮ The dynamics of systems with servoconstraints. I ⋮ On noisy extensions of nonholonomic constraints ⋮ Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization ⋮ Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis ⋮ Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread ⋮ Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson–Lie groups

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