Time-dependent Lagrangian systems: A geometric approach to the theory of systems with constraints
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Publication:4298588
DOI10.1063/1.530664zbMath0821.70013OpenAlexW2165008650MaRDI QIDQ4298588
Publication date: 8 August 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530664
contact manifoldendomorphismHamiltonian vector fieldscontact one-formnonvertical vector fieldvertical field
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03)
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On the geometry of non-holonomic Lagrangian systems ⋮ A Herglotz-based integrator for nonholonomic mechanical systems ⋮ Unnamed Item ⋮ Geometric description of time-dependent finite-dimensional mechanical systems ⋮ Higher-order mechanical systems with constraints ⋮ Mechanical systems with nonholonomic constraints ⋮ Some aspects of the theory of manifolds over algebras and Weil bundles ⋮ On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich
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