Lagrangian submanifolds and the Euler-Lagrange equations in higher-order mechanics

DOI10.1007/BF00402260zbMath0699.58037MaRDI QIDQ913339

Mike Crampin

Publication date: 1990

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

zbMATH Keywords

Lagrangian submanifoldhigher-order mechanics

Mathematics Subject Classification ID

Jets in global analysis (58A20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

Related Items

IMPROVING HAMILTONIAN ENERGY EQUATIONS ON THE KÄHLER JET BUNDLES ⋮ Time-dependent Lagrangian energy systems on supermanifolds with graph bundles ⋮ Bundle-theoretic methods for higher-order variational calculus ⋮ IMPROVING LAGRANGIAN ENERGY EQUATIONS ON KÄHLER JET BUNDLES

Cites Work

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• Higher-order differential equations and higher-order lagrangian mechanics
• Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints