Legendre transformation and analytical mechanics: A geometric approach

DOI10.1063/1.1555684zbMath1062.70032OpenAlexW2037694354MaRDI QIDQ4832972

Enrico Massa, Enrico M. Pagani, Stefano Vignolo

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1555684

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (5)

On Maupertuis principle in dynamics ⋮ Time-dependent contact mechanics ⋮ GEOMETRIC ASPECTS OF TIME-DEPENDENT SINGULAR DIFFERENTIAL EQUATIONS ⋮ On continuum dynamics ⋮ AFFINE DUALITY AND LAGRANGIAN AND HAMILTONIAN SYSTEMS

Cites Work

• Non-holonomic Lagrangian and Hamiltonian mechanics: an intrinsic approach
• On the gauge structure of classical mechanics
• A new presymplectic geometrical framework for time-dependent Lagrangian systems: the constraint algorithm and the second-order differential equation problem

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