Cariñena, José F.; López, Carlos; Rañada, Manuel F. Geometric Lagrangian approach to first-order systems and applications. (English) Zbl 0644.70012 J. Math. Phys. 29, No. 5, 1134-1142 (1988). The geometric theory of presymplectic systems is developed to study both the Lagrangian and Hamiltonian formulation of a system described by a Lagrangian linear in the velocities. The results are used to study some related problems for second-order differential equations and regular Lagrangians. Cited in 1 ReviewCited in 7 Documents MSC: 70H03 Lagrange’s equations 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 70H20 Hamilton-Jacobi equations in mechanics Keywords:constraint algorithm; theory of presymplectic systems; Hamiltonian formulation; regular Lagrangians Citations:Zbl 0644.70013 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Math. Phys. 29, No. 5, 1134--1142 (1988; Zbl 0644.70012) Full Text: DOI References: [1] DOI: 10.1063/1.527274 · Zbl 0613.70012 [2] DOI: 10.1007/BF00416849 · Zbl 0638.58009 [3] DOI: 10.1088/0305-4470/14/10/012 · Zbl 0475.70022 [4] DOI: 10.1007/BF02729691 [5] DOI: 10.1088/0305-4470/16/16/014 · Zbl 0536.58004 [6] DOI: 10.1063/1.523597 · Zbl 0418.58010 [7] Gotay M. J., Ann. Inst. H. Poincaré A 30 pp 129– (1979) [8] Gotay M. J., Ann. Inst. H. Poincaré A 32 pp 1– (1980) [9] DOI: 10.1016/0393-0440(86)90014-8 · Zbl 0621.58020 [10] Farias J. R., Hadronic J. 8 pp 93– (1985) [11] DOI: 10.1007/BF00402826 · Zbl 0571.53059 [12] DOI: 10.1063/1.525162 · Zbl 0475.70023 [13] DOI: 10.1063/1.526352 · Zbl 0567.70017 [14] DOI: 10.1088/0305-4470/18/17/014 · Zbl 0588.58020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.