The geometry of the Gibbs-Appell equations and Gauss' principle of least constraint

DOI10.1016/0034-4877(96)87675-0zbMath0892.70011OpenAlexW2025637651MaRDI QIDQ1373539

Andrew D. Lewis

Publication date: 20 November 1997

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

Full work available at URL: https://resolver.caltech.edu/CaltechCDSTR:1995.014

zbMATH Keywords

Riemannian metricSasaki metrickinetic energytangent bundleconfiguration manifoldGibbs function

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Other variational principles in mechanics (70H30) Variational principles of physics (49S05)

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Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• On the differential geometry of tangent bundles of Riemannian manifolds. II
• Nonholonomic mechanical systems with symmetry
• Integrability criteria for systems of nonlinear partial differential equations
• Variational principles for constrained systems: Theory and experiment
• Jet methods in nonholonomic mechanics
• A new perspective on constrained motion
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