About Cartan geometrization of non-holonomic mechanics

DOI10.1016/S0393-0440(02)00118-3zbMath1029.53050OpenAlexW2043786954MaRDI QIDQ1864941

João N. Tavares

Publication date: 23 March 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(02)00118-3

zbMATH Keywords

non-holonomic mechanicsCartanGeometrizationaffine generalized space

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items (7)

Invariant nonholonomic Riemannian structures on three-dimensional Lie groups ⋮ Restricted Jacobi Fields ⋮ On the geometry of nonholonomic mechanical systems with vertical distribution ⋮ Nonholonomic Riemann and Weyl tensors for flag manifolds ⋮ A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems ⋮ Differential geometry of distributions ⋮ A LINEAR CONNECTION FOR BOTH SUB-RIEMANNIAN GEOMETRY AND NONHOLONOMIC MECHANICS (II)

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• Newton's Law and Integrability of Nonholonomic Systems
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