Pérez Álvarez, Javier; Sánchez, Julio Cambronero Invariants associated to a variational problem. (English) Zbl 07792326 Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350111, 17 p. (2023). Reviewer: Mohammad Khorrami (Tehrān) MSC: 70S10 70S05 70H33 70G45 PDFBibTeX XMLCite \textit{J. Pérez Álvarez} and \textit{J. C. Sánchez}, Int. J. Geom. Methods Mod. Phys. 20, No. 7, Article ID 2350111, 17 p. (2023; Zbl 07792326) Full Text: DOI
Gomis, Joaquim; Guerra, Arnoldo IV; Román-Roy, Narciso Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory. (English) Zbl 1520.83074 Nucl. Phys., B 987, Article ID 116069, 52 p. (2023). MSC: 83E30 81V73 83D05 83C30 41A29 81Q05 78A30 58J28 70H03 PDFBibTeX XMLCite \textit{J. Gomis} et al., Nucl. Phys., B 987, Article ID 116069, 52 p. (2023; Zbl 1520.83074) Full Text: DOI arXiv
de León, Manuel; Gaset, Jordi; Muñoz-Lecanda, Miguel C.; Rivas, Xavier; Román-Roy, Narciso Multicontact formulation for non-conservative field theories. (English) Zbl 1516.70051 J. Phys. A, Math. Theor. 56, No. 2, Article ID 025201, 44 p. (2023). MSC: 70S05 70G45 37J55 PDFBibTeX XMLCite \textit{M. de León} et al., J. Phys. A, Math. Theor. 56, No. 2, Article ID 025201, 44 p. (2023; Zbl 1516.70051) Full Text: DOI arXiv
Alonso-Blanco, R. J.; Muñoz-Díaz, J. Newton’s second law in field theory. (English) Zbl 07430910 Differ. Geom. Appl. 79, Article ID 101814, 15 p. (2021). Reviewer: Mohammad Khorrami (Tehrān) MSC: 70S05 70A05 70G45 PDFBibTeX XMLCite \textit{R. J. Alonso-Blanco} and \textit{J. Muñoz-Díaz}, Differ. Geom. Appl. 79, Article ID 101814, 15 p. (2021; Zbl 07430910) Full Text: DOI arXiv
Blaschke, Daniel N.; Gieres, François On the canonical formulation of gauge field theories and Poincaré transformations. (English) Zbl 1492.70017 Nucl. Phys., B 965, Article ID 115366, 42 p. (2021). MSC: 70S20 81T13 PDFBibTeX XMLCite \textit{D. N. Blaschke} and \textit{F. Gieres}, Nucl. Phys., B 965, Article ID 115366, 42 p. (2021; Zbl 1492.70017) Full Text: DOI arXiv
López, Marco Castrillón; Pérez, Pedro Luis García The problem of Lagrange on principal bundles under a subgroup of symmetries. (English) Zbl 1434.58006 J. Geom. Mech. 11, No. 4, 539-552 (2019). MSC: 58E30 70S05 53C05 49K15 PDFBibTeX XMLCite \textit{M. C. López} and \textit{P. L. G. Pérez}, J. Geom. Mech. 11, No. 4, 539--552 (2019; Zbl 1434.58006) Full Text: DOI
Gross, Leonard Equivalence of helicity and Euclidean self-duality for gauge fields. (English) Zbl 1430.78004 Nucl. Phys., B 945, Article ID 114685, 37 p. (2019). MSC: 78A25 78A10 35Q61 35C07 35J05 70S15 PDFBibTeX XMLCite \textit{L. Gross}, Nucl. Phys., B 945, Article ID 114685, 37 p. (2019; Zbl 1430.78004) Full Text: DOI arXiv
Chacón, Pablo M.; Fernández, Antonio; García, Pedro L.; Rodrigo, César The problem of Lagrange in discrete field theory. (English) Zbl 1427.58009 J. Geom. Phys. 146, Article ID 103511, 18 p. (2019). MSC: 58E30 49M25 57R12 53Z05 PDFBibTeX XMLCite \textit{P. M. Chacón} et al., J. Geom. Phys. 146, Article ID 103511, 18 p. (2019; Zbl 1427.58009) Full Text: DOI
Martínez, Eduardo Classical field theory on Lie algebroids: multisymplectic formalism. (English) Zbl 1406.58003 J. Geom. Mech. 10, No. 1, 93-138 (2018). MSC: 58A20 70S05 49S05 35F20 53C15 53D42 PDFBibTeX XMLCite \textit{E. Martínez}, J. Geom. Mech. 10, No. 1, 93--138 (2018; Zbl 1406.58003) Full Text: DOI arXiv
Rossi, Olga The Lagrangian order-reduction theorem in field theories. (English) Zbl 1397.49008 Commun. Math. Phys. 362, No. 1, 107-128 (2018). MSC: 49J20 93B17 93B27 PDFBibTeX XMLCite \textit{O. Rossi}, Commun. Math. Phys. 362, No. 1, 107--128 (2018; Zbl 1397.49008) Full Text: DOI
Rosado María, E.; Muñoz Masqué, J. Second-order Lagrangians admitting a first-order Hamiltonian formalism. (English) Zbl 1387.58022 Ann. Mat. Pura Appl. (4) 197, No. 2, 357-397 (2018). MSC: 58E30 58A20 83C05 PDFBibTeX XMLCite \textit{E. Rosado María} and \textit{J. Muñoz Masqué}, Ann. Mat. Pura Appl. (4) 197, No. 2, 357--397 (2018; Zbl 1387.58022) Full Text: DOI arXiv Link
Rossi, Olga Lepage manifolds. (English) Zbl 1393.58004 Falcone, Giovanni (ed.), Lie groups, differential equations, and geometry. Advances and surveys. Cham: Springer; Palermo: Università degli Studi di Palermo (ISBN 978-3-319-62180-7/hbk; 978-3-319-62181-4/ebook). UNIPA Springer Series, 321-361 (2017). Reviewer: Neda Bokan (Beograd) MSC: 58A20 55R10 55N30 53C60 58E30 37J05 70S05 35R01 49Q99 PDFBibTeX XMLCite \textit{O. Rossi}, in: Lie groups, differential equations, and geometry. Advances and surveys. Cham: Springer; Palermo: Università degli Studi di Palermo. 321--361 (2017; Zbl 1393.58004) Full Text: DOI
de León, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso; Vilariño, Silvia Hamilton-Jacobi theory in multisymplectic classical field theories. (English) Zbl 1427.70061 J. Math. Phys. 58, No. 9, 092901, 36 p. (2017). MSC: 70S05 70H20 70G45 PDFBibTeX XMLCite \textit{M. de León} et al., J. Math. Phys. 58, No. 9, 092901, 36 p. (2017; Zbl 1427.70061) Full Text: DOI arXiv
Canarutto, Daniel Overconnections and the energy-tensors of gauge and gravitational fields. (English) Zbl 1338.83025 J. Geom. Phys. 106, 192-204 (2016). MSC: 83C05 83C40 PDFBibTeX XMLCite \textit{D. Canarutto}, J. Geom. Phys. 106, 192--204 (2016; Zbl 1338.83025) Full Text: DOI arXiv
Palese, Marcella; Rossi, Olga; Winterroth, Ekkehart; Musilová, Jana Variational sequences, representation sequences and applications in physics. (English) Zbl 1347.70043 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 045, 45 p. (2016). Reviewer: Miroslav Doupovec (Brno) MSC: 70S10 55N30 55R10 58A12 58A20 58E30 PDFBibTeX XMLCite \textit{M. Palese} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 045, 45 p. (2016; Zbl 1347.70043) Full Text: DOI arXiv
López, Emanuel; Molgado, Alberto; Vallejo, José A. The principle of stationary action in the calculus of variations. (English) Zbl 1272.49100 Commun. Math. 20, No. 2, 89-116 (2012). MSC: 49S05 49K15 34K11 PDFBibTeX XMLCite \textit{E. López} et al., Commun. Math. 20, No. 2, 89--116 (2012; Zbl 1272.49100) Full Text: arXiv
Vitolo, Raffaele Quantum structures in Galilei general relativity. (English) Zbl 0965.81038 Ann. Inst. Henri Poincaré, Phys. Théor. 70, No. 3, 239-257 (1999). MSC: 81S10 53D50 83D05 83C47 PDFBibTeX XMLCite \textit{R. Vitolo}, Ann. Inst. Henri Poincaré, Phys. Théor. 70, No. 3, 239--257 (1999; Zbl 0965.81038) Full Text: Numdam EuDML
Miron, Radu Noether theorem in higher-order Lagrangian mechanics. (English) Zbl 0833.58015 Int. J. Theor. Phys. 34, No. 7, 1123-1146 (1995). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37J99 70H25 70H03 PDFBibTeX XMLCite \textit{R. Miron}, Int. J. Theor. Phys. 34, No. 7, 1123--1146 (1995; Zbl 0833.58015) Full Text: DOI
Costantini, Paolo Giuseppe On the geometrical structure of Euler-Lagrange equations. (English) Zbl 0815.58002 Ann. Mat. Pura Appl., IV. Ser. 167, 389-402 (1994). Reviewer: C.Bär (Freiburg) MSC: 58A20 PDFBibTeX XMLCite \textit{P. G. Costantini}, Ann. Mat. Pura Appl. (4) 167, 389--402 (1994; Zbl 0815.58002) Full Text: DOI
Massa, Enrico; Pagani, Enrico Jet bundle geometry, dynamical connections, and the inverse problem of Lagrangian mechanics. (English) Zbl 0813.70004 Ann. Inst. Henri Poincaré, Phys. Théor. 61, No. 1, 17-62 (1994). MSC: 70H03 70G45 34A55 53B05 PDFBibTeX XMLCite \textit{E. Massa} and \textit{E. Pagani}, Ann. Inst. Henri Poincaré, Phys. Théor. 61, No. 1, 17--62 (1994; Zbl 0813.70004) Full Text: Numdam EuDML
Echeverría Enríquez, A.; Muñoz Lecanda, M. C. Variational calculus in several variables: A Hamiltonian approach. (English) Zbl 0737.70009 Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 1, 27-47 (1992). MSC: 70H05 70H03 70Sxx 70H20 PDFBibTeX XMLCite \textit{A. Echeverría Enríquez} and \textit{M. C. Muñoz Lecanda}, Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 1, 27--47 (1992; Zbl 0737.70009) Full Text: Numdam EuDML
Horák, Michal; Kolář, Ivan On the higher order Poincaré-Cartan forms. (English) Zbl 0545.58004 Czech. Math. J. 33(108), 467-475 (1983). Reviewer: M.Puta MSC: 58A15 PDFBibTeX XMLCite \textit{M. Horák} and \textit{I. Kolář}, Czech. Math. J. 33(108), 467--475 (1983; Zbl 0545.58004) Full Text: EuDML
Mangiarotti, L.; Modugno, Marco New operations on jet spaces. (English) Zbl 0532.58001 Ann. Fac. Sci. Toulouse, V. Sér., Math. 5, 171-198 (1983). Reviewer: A.Dimca MSC: 58A20 49Q99 58A15 PDFBibTeX XMLCite \textit{L. Mangiarotti} and \textit{M. Modugno}, Ann. Fac. Sci. Toulouse, Math. (5) 5, 171--198 (1983; Zbl 0532.58001) Full Text: DOI Numdam EuDML
Mangiarotti, L.; Modugno, M. Some results on the calculus of variations on jet spaces. (English) Zbl 0519.49028 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 39, 29-43 (1983). MSC: 49Q20 49Q99 58A20 58A15 58E30 37J99 PDFBibTeX XMLCite \textit{L. Mangiarotti} and \textit{M. Modugno}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 39, 29--43 (1983; Zbl 0519.49028) Full Text: Numdam EuDML
Francaviglia, Mauro; Krupka, Demeter The Hamiltonian formalism in higher order variational problems. (English) Zbl 0516.70022 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 37, 295-315 (1982). Reviewer: O. Bottema (Delft) MSC: 70H05 70H03 70H50 PDFBibTeX XMLCite \textit{M. Francaviglia} and \textit{D. Krupka}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 37, 295--315 (1982; Zbl 0516.70022) Full Text: Numdam EuDML
Modugno, Marco; Ragionieri, Rodolfo; Stefani, Gianna Differential pseudoconnections and field theories. (English) Zbl 0478.70015 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 34, 465-493 (1981). MSC: 70G99 58A20 53B15 81T08 37-XX 58J99 PDFBibTeX XMLCite \textit{M. Modugno} et al., Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 34, 465--493 (1981; Zbl 0478.70015) Full Text: Numdam EuDML
Kolar, Ivan Structure morphisms of prolongation functors. (English) Zbl 0425.58004 Math. Slovaca 30, 83-93 (1980). MSC: 58A20 58A05 53C05 18F15 18F99 PDFBibTeX XMLCite \textit{I. Kolar}, Math. Slovaca 30, 83--93 (1980; Zbl 0425.58004) Full Text: EuDML