Integrable geodesic flows of nonholonomic metrics
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Publication:1972737
DOI10.1007/BF02471765zbMath0946.37021arXivdg-ga/9610012OpenAlexW2043488100MaRDI QIDQ1972737
Publication date: 13 April 2000
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9610012
Hamilton's equations (70H05) Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonholonomic dynamical systems (37J60)
Related Items (6)
Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups ⋮ On the sub-Riemannian geodesic flow for the Goursat distribution ⋮ The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution ⋮ On a certain sub-Riemannian geodesic flow on the Heisenberg group ⋮ Sub-Riemannian geodesics on the three-dimensional solvable non-nilpotent Lie group \(\mathrm{SOLV}^-\) ⋮ The motion of a two-dimensional body, controlled by two moving internal masses, in an ideal fluid
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