A connection theoretic approach to sub-Riemannian geometry.

DOI10.1016/S0393-0440(02)00026-8zbMath1034.53029arXivmath/0210004OpenAlexW2163950187WikidataQ115338872 ScholiaQ115338872MaRDI QIDQ1811983

Bavo Langerock

Publication date: 18 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0210004

zbMATH Keywords

connectionssub-Riemannian geometryvakonomic dynamicsnonholonomic mechanics

Mathematics Subject Classification ID

Connections (general theory) (53C05) Sub-Riemannian geometry (53C17) Applications of variational problems to control theory (58E25)

Related Items

Sub-Lagrangians and sub-Hamiltonians on affine bundles ⋮ Autonomous optimal control problems. ⋮ Constant curvature models in sub-Riemannian geometry ⋮ Generalised connections over a vector bundle map. ⋮ Leafwise holonomy of connections over a bundle map. ⋮ Nonholonomic and constrained variational mechanics ⋮ A study on abnormality in variational and optimal control problems ⋮ Discrete vakonomic mechanics ⋮ Dirac structures in vakonomic mechanics

Cites Work

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• Sub-Riemannian geometry
• Generalised connections over a vector bundle map.
• Connections in Poisson geometry. I: Holonomy and invariants.
• Lie algebroids, holonomy and characteristic classes
• Lectures on algebraic and differential topology
• Newton's Law and Integrability of Nonholonomic Systems
• Abnormal Minimizers
• On the geometry of generalized Chaplygin systems
• Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
• Nonholonomic mechanics and connections over a bundle map
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• Variational aspects of the geodesics problem in sub-Riemannian geometry

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