Dynamical trajectories of simple mechanical systems as geodesics in space with an extra dimension

DOI10.1023/A:1026620020095zbMath0946.70010OpenAlexW34901535WikidataQ104405209 ScholiaQ104405209MaRDI QIDQ1303628

Jacek Guzik, Andrzej J. Maciejewski, Marek Szydłowski

Publication date: 16 September 1999

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026620020095

zbMATH Keywords

geodesicspseudo-Riemannian spacedeterministic chaosRiemannian spacequotient spacetimelike Killing vectornatural Lagrangianoptical model of line-of-sight geometry

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (1)

Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability

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