The constraint algorithm in the jet formalism
type: Item
instance of: scholarly article
title: The constraint algorithm in the jet formalism
zbMATH Open document ID: 0862.70015
DOI: 10.1016/0926-2245(96)82423-5
author: Manuel de León
author: Jesús Marín-Solano
author: Juan Carlos Marrero
published in: Differential Geometry and its Applications
publication date: 1996-10-20T00:00:00Z
review text: A constraint algorithm for degenerate non-autonomous Lagrangians is developed by using the jet formalism on fibered manifolds. This algorithm extends the one of Gotay and Nester for the autonomous Lagrangians and the one of Chinea, de León and Marrero for non-autonomous Lagrangians on trivial fibered manifolds.
reviewed by: Manuel de León
Mathematics Subject Classification ID: 70H03
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 937121
zbMATH Keywords: degenerate non-autonomous Lagrangians
zbMATH Keywords: fibered manifolds
Wikidata QID: Q115362497
MaRDI profile type: Publication
full work available at URL: 0926-2245(96)82423-5
OpenAlex ID: W2012862937
cites work: Reduction of degenerate Lagrangian systems
cites work: On the multisymplectic formalism for first order field theories
cites work: A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics
cites work: Geometric Lagrangian approach to first-order systems and applications
cites work: Q3361582
cites work: The constraint algorithm for time-dependent Lagrangians
cites work: A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics
cites work: GEOMETRICAL SETTING OF TIME-DEPENDENT REGULAR SYSTEMS: ALTERNATIVE MODELS.
cites work: Jet methods in nonholonomic mechanics
cites work: Presymplectic manifolds and the Dirac–Bergmann theory of constraints
cites work: Q3049554
cites work: Q3900713
cites work: Geometry of the dynamical systems with time-dependent constraints and time-dependent Hamiltonian: An approach towards quantization
cites work: A geometric classification of Lagrangian functions and the reduction of evolution space
cites work: A symplectic framework for field theories
cites work: Q3341465
cites work: Q3777094
cites work: Q3796417
cites work: Q3437094
cites work: A geometric setting for higher-order Dirac–Bergmann theory of constraints
cites work: Q4365210
cites work: Constrained time-dependent Lagrangian systems and Lagrangian submanifolds
cites work: Q4855872
cites work: Q4872436
cites work: Q4036973
cites work: Q4009045
cites work: Q3970243
cites work: Q4069942
cites work: Q3040177
cites work: Time-dependent Lagrangian systems: a geometric approach using semibasic forms
cites work: Extended Legendre transformation approach to the time-dependent Hamiltonian formalism
cites work: Q3994886
cites work: On the Legendre map in higher-order field theories
cites work: Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
cites work: Q4273395
cites work: Natural dynamical connections
cites work: Hamiltonian formalism for nonregular Lagrangian theories in fibered manifolds
description: scientific article; zbMATH DE number 937121