Moving frames for cotangent bundles

DOI10.1016/S0034-4877(02)80021-0zbMath1023.37037arXivmath-ph/0203014MaRDI QIDQ1853814

Kurt M. Ehlers, Pedro de M. Rios, Jair Koiller

Publication date: 22 January 2003

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0203014

zbMATH Keywords

Riemannian geometrynonholonomic systemsconnectionsHamiltonian dynamicscotangent bundlesmoving frames

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Momentum maps; symplectic reduction (53D20) 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) Nonholonomic dynamical systems (37J60)

Related Items (5)

A Global Version of the Koon-Marsden Jacobiator Formula ⋮ The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets ⋮ Rubber rolling over a sphere ⋮ Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization ⋮ The geometry of nonholonomic Chaplygin systems revisited

Cites Work

• Sophus Lie and symplectic geometry
• Reduction of some classical non-holonomic systems with symmetry
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Examples of singular nonholonomic reduction
• Examples of gauge conservation laws in nonholonomic systems
• What is a completely integrable nonholonomic dynamical system?
• On the Hamiltonian formulation of nonholonomic mechanical systems
• Non-holonomic connections following Élie Cartan
• On almost-Poisson structures in nonholonomic mechanics
• Regularity aspects and Hamiltonization of non-holonomic systems

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