Shadwick, W. F. The Hamiltonian formulation of regular rth-order Lagrangian field theories. (English) Zbl 0514.58013 Lett. Math. Phys. 6, 409-416 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 14 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 58A15 Exterior differential systems (Cartan theory) 49Q99 Manifolds and measure-geometric topics 58A20 Jets in global analysis Keywords:hierarchy of equivalence classes of contact m-forms; generalized Hamilton-Jacobi equation PDFBibTeX XMLCite \textit{W. F. Shadwick}, Lett. Math. Phys. 6, 409--416 (1982; Zbl 0514.58013) Full Text: DOI References: [1] AldayaV. and DeAzcárragaJ.A., J. Math. Phys. 19, 1869 (1978); J. Phys. A. 13, 2545 (1980). · Zbl 0415.58010 · doi:10.1063/1.523904 [2] HermannR., Differential Geometry and the Calculus of Variations (2nd Edn), Interdisciplinary Mathematics Vol. XVII, Math. Sci. Press, Brookline, Ma., 1977. [3] KuperschmidtB.A., in G.Kaiser and J.E.Marsden (eds), Geometric Methods in Mathematical Physics, Lecture Notes in Mathematics Vol. 775, Springer-Verlag, Berlin, Heidelberg, New York, 1980. [4] ManinYu. I., J. Soviet Math. 11, 1 (1979). · Zbl 0419.35001 · doi:10.1007/BF01084246 [5] RodriguesP.R., J. Math. Phys. 18, 1720 (1977). · Zbl 0373.70018 · doi:10.1063/1.523477 [6] SzapiroT. in P.L.Garcia, A.Pérez-Rendón and J.M.Souriau (eds), Differential Geometrical Methods in Mathematical Physics, Lecture Notes in Mathematics Vol. 836, Springer-Verlag, Berlin, Heidelberg, New York, 1980. [7] ShadwickW.F., Lett. Math. Phys. 5, 137 (1981). · Zbl 0473.58012 · doi:10.1007/BF00403242 [8] deDonderTh., Theorie invariantive du Calcul des Variations, Gauthier-Villars, Paris, 1935. [9] GoldschmidtH. and SternbergS., Ann. Inst. Fourier (Grenoble) 23.1, 203 (1973). [10] DedeckerP., C.R. Acad. Sci. Paris, Serie A, 288, 827 (1979). [11] Shadwick, W.F., ’The Hamilton-Cartan Formalism for rth-Order Lagrangian Field and Particle Theories’, to appear in Mathematics Lecture Series, Publish or Perish Inc. [12] ShadwickW.F., Lett. Math. Phys. 4, 241 (1980). · Zbl 0444.58011 · doi:10.1007/BF00316680 [13] GardnerR.B., J. Diff. Geom. 2, 25 (1968). [14] GardnerR.B., Trans. Amer. Math. Soc. 126, 514 (1967). · doi:10.1090/S0002-9947-1967-0211352-5 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.