A LINEAR CONNECTION FOR BOTH SUB-RIEMANNIAN GEOMETRY AND NONHOLONOMIC MECHANICS (II)

DOI10.1142/S0219887811005476zbMath1277.53032WikidataQ115245439 ScholiaQ115245439MaRDI QIDQ3098881

Aurel Bejancu

Publication date: 18 November 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

nonholonomic mechanical systemshorizontal distributionLagrange-d'Alembert equationsNewton's equationsvertical distributionsub-Riemannian connectiongeneralized Chaplygin systems

Mathematics Subject Classification ID

Connections (general theory) (53C05) Sub-Riemannian geometry (53C17) Nonholonomic dynamical systems (37J60)

Cites Work

• Nonholonomic problems and the theory of distributions
• Affine connections and distributions with applications to nonholonomic mechanics
• Nonholonomic reduction
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• About Cartan geometrization of non-holonomic mechanics
• Nonholonomic mechanical systems with symmetry
• A LINEAR CONNECTION FOR BOTH SUB-RIEMANNIAN GEOMETRY AND NONHOLONOMIC MECHANICS (I)
• Newton's Law and Integrability of Nonholonomic Systems

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