GEOMETRIC INTERPRETATIONS OF THE SYMMETRIC PRODUCT IN AFFINE DIFFERENTIAL GEOMETRY AND APPLICATIONS

DOI10.1142/S0219887812500739zbMath1316.53012arXiv1104.1208WikidataQ115245414 ScholiaQ115245414MaRDI QIDQ4917295

María Barbero-Liñán, Andrew D. Lewis

Publication date: 29 April 2013

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

Full work available at URL: https://arxiv.org/abs/1104.1208

zbMATH Keywords

affine differential geometrysymmetric productgeodesic invariance

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Robot dynamics and control of rigid bodies (70E60) Affine differential geometry (53A15)

Related Items (5)

About simple variational splines from the Hamiltonian viewpoint ⋮ Mechanical linearization of mechanical control systems without controllability assumption ⋮ The geometry of barotropic flow ⋮ On some aspects of the geometry of non integrable distributions and applications ⋮ Linearisation of tautological control systems

Cites Work

• High-order sufficient conditions for configuration tracking of affine connection control systems
• The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations
• Affine connections and distributions with applications to nonholonomic mechanics
• Trajectory design for mechanical control systems: from geometry to algorithms
• Controllability and motion algorithms for underactuated Lagrangian systems on Lie groups
• Configuration Controllability of Simple Mechanical Control Systems

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