Mechanical systems and their associated Lagrange geometries

DOI10.1080/00207160903456849zbMath1337.70031OpenAlexW2095835201MaRDI QIDQ3056421

Camelia Frigioiu, Constantin Gheorghieş

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903456849

zbMATH Keywords

mechanical systemsemispraynonlinear connectionmetrical connectionevolution curvesrheonomic Lagrange space

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Holonomic systems related to the dynamics of a system of particles (70F20) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Cites Work

• The geometry of time-dependent Lagrangians
• The geometry of ordinary variational equations
• KCC-theory and geometry of the Rikitake system
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