Automorphism groups of classical mechanical systems

DOI10.1007/BF01339229zbMath0573.70005OpenAlexW2006251505MaRDI QIDQ1062774

Ottmar Loos

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178254

zbMATH Keywords

classificationautomorphism groupdamped harmonic oscillatorgeneralized Möbius stripspace-time manifold\textit{J. M. Souriaus} description of mechanical systemsclosed 1-formfibre metricfree harmonic oscillatorLie transformation groupmaximum rank 2-form

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of global differential geometry to the sciences (53C80) Exterior differential systems (Cartan theory) (58A15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (4)

Asymptotic expansion of general relativity with Galilean covariance ⋮ Geometric description of time-dependent finite-dimensional mechanical systems ⋮ The principle of virtual work and Hamilton's principle on Galilean manifolds ⋮ Automorphism groups of second order differential equations

Cites Work

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• Automorphism groups of second order differential equations
• Les systémes dynamiques abstraits
• Die Differentialgeometrie des Galileischen Relativitätsprinzips
• Les formes extérieures en mécanique

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