Lagrangian mechanics and the geometry of configuration spacetime

DOI10.1016/0003-4916(83)90305-6zbMath0522.70021OpenAlexW1988468135MaRDI QIDQ1056243

Manfred Truemper

Publication date: 1983

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(83)90305-6

zbMATH Keywords

geodesicslinear connectionsconfiguration spacetimedegenerate metricsGalileian connectionLagrangian connection

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Gravitational energy and conservation laws; groups of motions (83C40) Special relativity (83A05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Equations of motion in general relativity and gravitational theory (83C10) Connections (general theory) (53C05) Lagrange's equations (70H03)

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Cites Work

• Die Differentialgeometrie des Galileischen Relativitätsprinzips
• Das Galileische Relativitätsprinzip in der analytischen Mechanik
• Fluid Dynamics / Strömungsmechanik
• Four-Dimensional Formulations of Newtonian Mechanics and Their Relation to the Special and the General Theory of Relativity
• Ricci-Calculus
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