Connections and geodesic characteristics of equations of motion for constrained mechanical systems

DOI10.1007/BF02458238zbMath0927.70017MaRDI QIDQ1288773

Yong-Xin Guo, Feng-Xiang Mei, Shao-Kai Luo

Publication date: 14 December 1999

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

necessary and sufficient conditionvertical endomorphismtorsion-free connections1-jet bundlehorizontal dynamical flownonautonomous constrained mechanical systems

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

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• Derivations of forms along a map: The framework for time-dependent second-order equations
• Geometrical aspects and generalizations of Newton-Cartan mechanics
• Non-standard connections in classical mechanics
• The constraint algorithm for time-dependent Lagrangians

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