Non-holonomic connections following Élie Cartan

DOI10.1590/S0001-37652001000200003zbMath0999.70016arXiv1110.1356MaRDI QIDQ2731762

Jair Koiller, Paulo Pitanga, Paulo R. Rodrigues

Publication date: 29 July 2001

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1356

zbMATH Keywords

tangent bundle\(E\)-restricted connectionsnon-holonomic connections

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Related Items

Sub-Riemannian calculus on hypersurfaces in Carnot groups, Invariant nonholonomic Riemannian structures on three-dimensional Lie groups, Restricted Jacobi Fields, Hypersurfaces and variational formulas in sub-Riemannian Carnot groups, On the Schouten and Wagner curvature tensors, A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems, Horizontal connection and horizontal mean curvature in Carnot groups, Cartan meets Chaplygin, Moving frames for cotangent bundles, About Cartan geometrization of non-holonomic mechanics

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