Palese, Marcella; Rossi, Olga; Zanello, Fabrizio Geometric integration by parts and Lepage equivalents. (English) Zbl 07485635 Differ. Geom. Appl. 81, Article ID 101866, 26 p. (2022). MSC: 53C80 58A20 70G45 70H50 70S05 PDF BibTeX XML Cite \textit{M. Palese} et al., Differ. Geom. Appl. 81, Article ID 101866, 26 p. (2022; Zbl 07485635) Full Text: DOI arXiv OpenURL
Voicu, Nicoleta; Garoiu, Stefan; Vasian, Bianca On the closure property of Lepage equivalents of Lagrangians. (English) Zbl 1484.58002 Differ. Geom. Appl. 81, Article ID 101852, 19 p. (2022). MSC: 58A10 58A20 83D05 PDF BibTeX XML Cite \textit{N. Voicu} et al., Differ. Geom. Appl. 81, Article ID 101852, 19 p. (2022; Zbl 1484.58002) Full Text: DOI arXiv OpenURL
Cardin, Franco; Giannotti, Cristina; Spiro, Andrea Control problems with differential constraints of higher order. (English) Zbl 1461.49027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112263, 39 p. (2021). MSC: 49K15 PDF BibTeX XML Cite \textit{F. Cardin} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112263, 39 p. (2021; Zbl 1461.49027) Full Text: DOI arXiv OpenURL
Jovanović, Božidar Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. (English) Zbl 1407.37088 J. Geom. Mech. 10, No. 2, 173-187 (2018). MSC: 37J15 37J60 70F25 70H25 70H33 PDF BibTeX XML Cite \textit{B. Jovanović}, J. Geom. Mech. 10, No. 2, 173--187 (2018; Zbl 1407.37088) Full Text: DOI arXiv OpenURL
Chrastinová, Veronika; Tryhuk, Václav The symmetry reduction of variational integrals, complement. (English) Zbl 1463.49054 Math. Bohem. 143, No. 4, 431-439 (2018). MSC: 49S05 49N99 70H03 PDF BibTeX XML Cite \textit{V. Chrastinová} and \textit{V. Tryhuk}, Math. Bohem. 143, No. 4, 431--439 (2018; Zbl 1463.49054) Full Text: DOI OpenURL
Tryhuk, Václav; Chrastinová, Veronika The symmetry reduction of variational integrals. (English) Zbl 1463.49055 Math. Bohem. 143, No. 3, 291-328 (2018). MSC: 49S05 49N99 70H03 PDF BibTeX XML Cite \textit{V. Tryhuk} and \textit{V. Chrastinová}, Math. Bohem. 143, No. 3, 291--328 (2018; Zbl 1463.49055) Full Text: DOI OpenURL
Fiorani, Emanuele; Germani, Sandra; Spiro, Andrea Lie algebras of conservation laws of variational partial differential equations. (English) Zbl 1390.70066 Adv. Geom. 18, No. 2, 207-228 (2018). MSC: 70S05 70S10 70G65 PDF BibTeX XML Cite \textit{E. Fiorani} et al., Adv. Geom. 18, No. 2, 207--228 (2018; Zbl 1390.70066) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
de Gosson, Maurice A. [Hiley, Basil] The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. (English) Zbl 1358.70001 Hackensack, NJ: World Scientific (ISBN 978-981-3200-96-8/hbk; 978-981-3200-98-2/ebook). xxv, 396 p. (2017). MSC: 70-02 81-02 PDF BibTeX XML Cite \textit{M. A. de Gosson}, The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\). With a forword by Basil Hiley. 2nd edition. Hackensack, NJ: World Scientific (2017; Zbl 1358.70001) Full Text: DOI OpenURL
Jovanović, Božidar Noether symmetries and integrability in time-dependent Hamiltonian mechanics. (English) Zbl 1474.37059 Theor. Appl. Mech. (Belgrade) 43, No. 2, 255-273 (2016). MSC: 37J06 37J35 37J55 70H25 70H33 53D10 PDF BibTeX XML Cite \textit{B. Jovanović}, Theor. Appl. Mech. (Belgrade) 43, No. 2, 255--273 (2016; Zbl 1474.37059) Full Text: DOI arXiv OpenURL
Gaset, Jordi; Román-Roy, Narciso Order reduction, projectability and constraints of second-order field theories and higher-order mechanics. (English) Zbl 1384.81067 Rep. Math. Phys. 78, No. 3, 327-337 (2016). MSC: 81T10 70H45 PDF BibTeX XML Cite \textit{J. Gaset} and \textit{N. Román-Roy}, Rep. Math. Phys. 78, No. 3, 327--337 (2016; Zbl 1384.81067) Full Text: DOI arXiv OpenURL
Smetanová, Dana The regularization of the second order Lagrangians in example. (English) Zbl 1369.49070 Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 2, 157-165 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 49S05 35R01 53Z05 70H30 PDF BibTeX XML Cite \textit{D. Smetanová}, Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 55, No. 2, 157--165 (2016; Zbl 1369.49070) Full Text: Link OpenURL
Crasmareanu, Mircea Semi-basic \(1\)-forms and Courant structure for metrizability problems. (English) Zbl 1474.53285 Publ. Inst. Math., Nouv. Sér. 98(112), 153-163 (2015). MSC: 53C60 PDF BibTeX XML Cite \textit{M. Crasmareanu}, Publ. Inst. Math., Nouv. Sér. 98(112), 153--163 (2015; Zbl 1474.53285) Full Text: DOI EMIS OpenURL
Kijowski, Jerzy; Moreno, Giovanni Symplectic structures related with higher order variational problems. (English) Zbl 1332.53034 Int. J. Geom. Methods Mod. Phys. 12, No. 9, Article ID 1550084, 45 p. (2015). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53B50 53C80 70S05 58A20 35A99 53D20 53D05 PDF BibTeX XML Cite \textit{J. Kijowski} and \textit{G. Moreno}, Int. J. Geom. Methods Mod. Phys. 12, No. 9, Article ID 1550084, 45 p. (2015; Zbl 1332.53034) Full Text: DOI arXiv OpenURL
Fiorani, Emanuele; Spiro, Andrea Lie algebras of conservation laws of variational ordinary differential equations. (English) Zbl 1308.70050 J. Geom. Phys. 88, 56-75 (2015). MSC: 70S05 70S10 70G65 PDF BibTeX XML Cite \textit{E. Fiorani} and \textit{A. Spiro}, J. Geom. Phys. 88, 56--75 (2015; Zbl 1308.70050) Full Text: DOI arXiv OpenURL
Rosado María, E.; Muñoz Masqué, J. Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism. (English) Zbl 1319.58015 Differ. Geom. Appl. 35, Suppl., 164-177 (2014). MSC: 58E30 58A20 83C05 PDF BibTeX XML Cite \textit{E. Rosado María} and \textit{J. Muñoz Masqué}, Differ. Geom. Appl. 35, 164--177 (2014; Zbl 1319.58015) Full Text: DOI OpenURL
Adamec, Ladislav A route to Routh – the parametric problem. (English) Zbl 1231.49038 Acta Appl. Math. 117, No. 1, 115-134 (2012). MSC: 49S05 49N99 70H03 70Q05 PDF BibTeX XML Cite \textit{L. Adamec}, Acta Appl. Math. 117, No. 1, 115--134 (2012; Zbl 1231.49038) Full Text: DOI OpenURL
Adamec, Ladislav A route to Routh – the classical setting. (English) Zbl 1217.49040 J. Nonlinear Math. Phys. 18, No. 1, 87-107 (2011). MSC: 49S05 49N99 70H03 70Q05 PDF BibTeX XML Cite \textit{L. Adamec}, J. Nonlinear Math. Phys. 18, No. 1, 87--107 (2011; Zbl 1217.49040) Full Text: DOI OpenURL
Preston, Serge Variational theory of balance systems. (English) Zbl 1205.80041 Int. J. Geom. Methods Mod. Phys. 7, No. 5, 745-795 (2010). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 80A20 58A20 80M30 PDF BibTeX XML Cite \textit{S. Preston}, Int. J. Geom. Methods Mod. Phys. 7, No. 5, 745--795 (2010; Zbl 1205.80041) Full Text: DOI OpenURL
Krupka, Demeter; Krupková, Olga; Saunders, David The Cartan form and its generalizations in the calculus of variations. (English) Zbl 1194.49069 Int. J. Geom. Methods Mod. Phys. 7, No. 4, 631-654 (2010). MSC: 49Q20 53B40 58E30 70H25 PDF BibTeX XML Cite \textit{D. Krupka} et al., Int. J. Geom. Methods Mod. Phys. 7, No. 4, 631--654 (2010; Zbl 1194.49069) Full Text: DOI OpenURL
Bucataru, Ioan; Dahl, Matias F. Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. (English) Zbl 1189.58006 J. Geom. Mech. 1, No. 2, 159-180 (2009). MSC: 58E30 53C60 58B20 53C22 PDF BibTeX XML Cite \textit{I. Bucataru} and \textit{M. F. Dahl}, J. Geom. Mech. 1, No. 2, 159--180 (2009; Zbl 1189.58006) Full Text: DOI arXiv OpenURL
Bucataru, Ioan; Miron, Radu The geometry of systems of third-order differential equations induced by second-order regular Lagrangians. (English) Zbl 1229.70044 Mediterr. J. Math. 6, No. 4, 483-500 (2009). MSC: 70G45 70H50 70H03 PDF BibTeX XML Cite \textit{I. Bucataru} and \textit{R. Miron}, Mediterr. J. Math. 6, No. 4, 483--500 (2009; Zbl 1229.70044) Full Text: DOI arXiv OpenURL
Rosado María, M. Eugenia Invariance of second order covariant Hamiltonians on the bundle of linear frames. (English) Zbl 1234.58005 Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 343-348 (2007). MSC: 58E30 53B05 53C05 58A20 58D19 58H05 PDF BibTeX XML Cite \textit{M. E. Rosado María}, Publ. R. Soc. Mat. Esp. 11, 343--348 (2007; Zbl 1234.58005) OpenURL
Monterde, Juan; Muñoz Masqué, Jaime; Vallejo, José A. The Poincaré-Cartan form in superfield theory. (English) Zbl 1096.58006 Int. J. Geom. Methods Mod. Phys. 3, No. 4, 775-822 (2006). MSC: 58E30 46S60 58A20 58A50 58C50 58J70 PDF BibTeX XML Cite \textit{J. Monterde} et al., Int. J. Geom. Methods Mod. Phys. 3, No. 4, 775--822 (2006; Zbl 1096.58006) Full Text: DOI arXiv OpenURL
Muñoz Masqué, J.; Rosado, M. Eugenia Covariant Hamiltonians for diffeomorphism-invariant Lagrangians on linear frame bundles. (English) Zbl 1110.58012 Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 639-644 (2005). Reviewer: Themistocles M. Rassias (Athens) MSC: 58E30 58A20 58D19 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} and \textit{M. E. Rosado}, in: Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30--September 3, 2004. Prague: matfyzpress. 639--644 (2005; Zbl 1110.58012) OpenURL
Muñoz Masqué, J.; Pozo Coronado, L. M. Global characterization of variational first-order quasi-linear equations. (English) Zbl 1087.58010 Rep. Math. Phys. 56, No. 1, 23-38 (2005). MSC: 58E30 58A20 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} and \textit{L. M. Pozo Coronado}, Rep. Math. Phys. 56, No. 1, 23--38 (2005; Zbl 1087.58010) Full Text: DOI OpenURL
Smetanová, Dana On regularization of second order Lagrangians. (English) Zbl 1119.35328 Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 289-296 (2004). MSC: 35K15 49N60 58Z05 PDF BibTeX XML Cite \textit{D. Smetanová}, AIP Conf. Proc. 729, 289--296 (2004; Zbl 1119.35328) OpenURL
Fabitene, L.; Ferraris, M.; Francaviglia, M. On-shell symmetries. (English) Zbl 1084.70012 Int. J. Geom. Methods Mod. Phys. 1, No. 1-2, 83-95 (2004). MSC: 70S10 70G65 70H33 70G45 PDF BibTeX XML Cite \textit{L. Fabitene} et al., Int. J. Geom. Methods Mod. Phys. 1, No. 1--2, 83--95 (2004; Zbl 1084.70012) Full Text: DOI arXiv OpenURL
Cianci, Roberto; Vignolo, Stefano; Bruno, Danilo The geometrical framework for Yang-Mills theories. (English) Zbl 1040.81061 J. Phys. A, Math. Gen. 36, No. 30, 8341-8358 (2003). MSC: 81T13 70S15 58E15 70S05 58A20 PDF BibTeX XML Cite \textit{R. Cianci} et al., J. Phys. A, Math. Gen. 36, No. 30, 8341--8358 (2003; Zbl 1040.81061) Full Text: DOI OpenURL
Bryant, Robert; Griffiths, Phillip; Grossman, Daniel Exterior differential systems and Euler-Lagrange partial differential equations. (English) Zbl 1024.58006 Chicago Lectures in Mathematics. Chicago: University of Chicago Press. vii, 213 p. (2003). Reviewer: Akira Asada (Takarazuka) MSC: 58E30 58-02 35-02 58A15 53D10 PDF BibTeX XML Cite \textit{R. Bryant} et al., Exterior differential systems and Euler-Lagrange partial differential equations. Chicago: University of Chicago Press (2003; Zbl 1024.58006) Full Text: arXiv OpenURL
Monterde, J.; Muñoz Masqué, J. Hamiltonian formalism in supermechanics. (English) Zbl 1106.37307 Int. J. Theor. Phys. 41, No. 3, 429-458 (2002). Reviewer: Miloslav Znojil (Řež) MSC: 37J05 58A50 70G45 70H05 70S05 PDF BibTeX XML Cite \textit{J. Monterde} and \textit{J. Muñoz Masqué}, Int. J. Theor. Phys. 41, No. 3, 429--458 (2002; Zbl 1106.37307) Full Text: DOI OpenURL
Chrastina, Jan Examples from the calculus of variations. IV: Concluding review. (English) Zbl 1008.49015 Math. Bohem. 126, No. 4, 691-710 (2001). MSC: 49K27 49-02 58E30 PDF BibTeX XML Cite \textit{J. Chrastina}, Math. Bohem. 126, No. 4, 691--710 (2001; Zbl 1008.49015) Full Text: EuDML OpenURL
Krupková, Olga; Smetanová, Dana Legendre transformation for regularizable Lagrangians in field theory. (English) Zbl 1005.70025 Lett. Math. Phys. 58, No. 3, 189-204 (2001). MSC: 70S05 58Z05 78A25 PDF BibTeX XML Cite \textit{O. Krupková} and \textit{D. Smetanová}, Lett. Math. Phys. 58, No. 3, 189--204 (2001; Zbl 1005.70025) Full Text: DOI arXiv OpenURL
Cariñena, José F.; Martínez, Eduardo Lie algebroid generalization of geometric mechanics. (English) Zbl 1009.70014 Kubarski, Jan (ed.) et al., Lie algebroids and related topics in differential geometry. Proceedings of the conference, Warsaw, Poland, June 12-18, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 54, 201-215 (2001). Reviewer: Manuel de León (Madrid) MSC: 70G65 70G45 70H30 22E70 PDF BibTeX XML Cite \textit{J. F. Cariñena} and \textit{E. Martínez}, Banach Cent. Publ. 54, 201--215 (2001; Zbl 1009.70014) Full Text: Link OpenURL
de Gosson, Maurice A. The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). (English) Zbl 0991.70001 London: Imperial College Press (ISBN 1-86094-274-1/hbk; 978-1-84816-142-9/ebook). xxii, 357 p. (2001). Reviewer: N.D.Sengupta (Mumbai) MSC: 70-02 81-02 PDF BibTeX XML Cite \textit{M. A. de Gosson}, The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\). London: Imperial College Press (2001; Zbl 0991.70001) Full Text: Link OpenURL
Chrastina, Jan Examples from the calculus of variations. III: Legendre and Jacobi conditions. (English) Zbl 0980.49024 Math. Bohem. 126, No. 1, 93-111 (2001). MSC: 49K27 58A10 58E30 49K10 PDF BibTeX XML Cite \textit{J. Chrastina}, Math. Bohem. 126, No. 1, 93--111 (2001; Zbl 0980.49024) Full Text: EuDML OpenURL
Smetanová, Dana On Hamilton \(p_2\)-equations in second-order field theory. (English) Zbl 0981.35005 Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25-30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics, 329-341 (2001). MSC: 35A15 49N60 58E15 70H03 70H05 PDF BibTeX XML Cite \textit{D. Smetanová}, in: Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25--30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 329--341 (2001; Zbl 0981.35005) Full Text: EMIS OpenURL
Krupková, Olga Hamiltonian field theory revisited: A geometric approach to regularity. (English) Zbl 0980.35009 Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25-30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics, 187-207 (2001). MSC: 35A15 49N60 58Z05 70H03 70H05 PDF BibTeX XML Cite \textit{O. Krupková}, in: Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25--30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 187--207 (2001; Zbl 0980.35009) Full Text: EMIS OpenURL
Grifone, Joseph; Muñoz Masqué, J.; Pozo Coronado, L. M. Variational first-order quasilinear equations. (English) Zbl 1058.58007 Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25–30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 131-138 (2001). MSC: 58E30 37K05 58A20 PDF BibTeX XML Cite \textit{J. Grifone} et al., in: Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25--30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 131--138 (2001; Zbl 1058.58007) Full Text: EMIS OpenURL
Krupková, Olga; Smetanová, Dana On regularization of variational problems in first-order field theory. (English) Zbl 0979.35005 Slovák, Jan (ed.) et al., The proceedings of the 20th winter school “Geometry and physics”, Srní, Czech Republic, January 15-22, 2000. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 66, 133-140 (2001). MSC: 35A15 49N60 58Z05 PDF BibTeX XML Cite \textit{O. Krupková} and \textit{D. Smetanová}, in: The proceedings of the 20th winter school ``Geometry and physics'', Srní, Czech Republic, January 15--22, 2000. Palermo: Circolo Matematico di Palermo. 133--140 (2001; Zbl 0979.35005) OpenURL
Zambrini, Jean Claude Feynman integrals, diffusion processes and quantum symplectic two-forms. (English) Zbl 0980.81034 J. Korean Math. Soc. 38, No. 2, 385-408 (2001). MSC: 81S40 60J70 58D30 60H07 81S10 PDF BibTeX XML Cite \textit{J. C. Zambrini}, J. Korean Math. Soc. 38, No. 2, 385--408 (2001; Zbl 0980.81034) OpenURL
Ogawa, Tsuyoshi; Sagae, Toshiaki Nambu mechanics in the Lagrangian formalism. (English) Zbl 0993.70013 Int. J. Theor. Phys. 39, No. 12, 2875-2890 (2000). MSC: 70H03 70G45 70H99 PDF BibTeX XML Cite \textit{T. Ogawa} and \textit{T. Sagae}, Int. J. Theor. Phys. 39, No. 12, 2875--2890 (2000; Zbl 0993.70013) Full Text: DOI OpenURL
Chrastina, Jan Examples from the calculus of variations. II: A degenerate problem. (English) Zbl 0968.49002 Math. Bohem. 125, No. 2, 187-197 (2000). MSC: 49J10 49K27 49N45 58E30 PDF BibTeX XML Cite \textit{J. Chrastina}, Math. Bohem. 125, No. 2, 187--197 (2000; Zbl 0968.49002) Full Text: EuDML OpenURL
Chrastina, Jan Examples from the calculus of variations. I: Nondegenerate problems. (English) Zbl 0968.49001 Math. Bohem. 125, No. 1, 55-76 (2000). MSC: 49J10 49K27 49N45 58E30 PDF BibTeX XML Cite \textit{J. Chrastina}, Math. Bohem. 125, No. 1, 55--76 (2000; Zbl 0968.49001) Full Text: EuDML OpenURL
Durán Díaz, R.; Muñoz Masqué, J. Second-order Lagrangians admitting a second-order Hamilton-Cartan formalism. (English) Zbl 0973.70022 J. Phys. A, Math. Gen. 33, No. 34, 6003-6016 (2000). Reviewer: Raul Ibañez (Bilbão) MSC: 70S05 70G45 70H99 PDF BibTeX XML Cite \textit{R. Durán Díaz} and \textit{J. Muñoz Masqué}, J. Phys. A, Math. Gen. 33, No. 34, 6003--6016 (2000; Zbl 0973.70022) Full Text: DOI OpenURL
Muñoz Masqué, J.; Pozo Coronado, L. M. Parameter invariance in field theory and the Hamiltonian formalism. (English) Zbl 0955.58014 Fortschr. Phys. 48, No. 4, 361-405 (2000). MSC: 58E30 81S10 81T99 81T30 58E12 58A20 53D50 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} and \textit{L. M. Pozo Coronado}, Fortschr. Phys. 48, No. 4, 361--405 (2000; Zbl 0955.58014) Full Text: DOI OpenURL
Fernández, A.; García, P. L.; Rodrigo, C. Stress-energy-momentum tensors in higher order variational calculus. (English) Zbl 0954.58021 J. Geom. Phys. 34, No. 1, 41-72 (2000). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 58E30 76M30 83C40 PDF BibTeX XML Cite \textit{A. Fernández} et al., J. Geom. Phys. 34, No. 1, 41--72 (2000; Zbl 0954.58021) Full Text: DOI OpenURL
Alonso Blanco, Ricardo J. \(\mathcal D\)-modules, contact valued calculus and Poincare-Cartan form. (English) Zbl 1011.58011 Czech. Math. J. 49, No. 3, 585-606 (1999). Reviewer: Ivan Kolář (Brno) MSC: 58E30 58A20 58J10 PDF BibTeX XML Cite \textit{R. J. Alonso Blanco}, Czech. Math. J. 49, No. 3, 585--606 (1999; Zbl 1011.58011) Full Text: DOI EuDML OpenURL
Kanatchikov, Igor V. Canonical structure of classical field theory in the polymomentum phase space. (English) Zbl 0947.70020 Rep. Math. Phys. 41, No. 1, 49-90 (1998). Reviewer: Marco Modugno (Firenze) MSC: 70S05 70G45 53C80 81S10 58E30 37J99 PDF BibTeX XML Cite \textit{I. V. Kanatchikov}, Rep. Math. Phys. 41, No. 1, 49--90 (1998; Zbl 0947.70020) Full Text: DOI arXiv OpenURL
Grimaldi, P. Global methods in classical mechanics. The Euler-Lagrange equation. (English) Zbl 0919.70010 J. Math. Chem. 24, No. 1-3, 71-78 (1998). Reviewer: Jan Chrastina (Brno) MSC: 70H03 70G10 70-02 PDF BibTeX XML Cite \textit{P. Grimaldi}, J. Math. Chem. 24, No. 1--3, 71--78 (1998; Zbl 0919.70010) Full Text: DOI OpenURL
Muñoz Masqué, J.; Pozo Coronado, L. M. Parameter-invariant second-order variational problems in one variable. (English) Zbl 0908.58013 J. Phys. A, Math. Gen. 31, No. 29, 6225-6242 (1998). MSC: 58E30 PDF BibTeX XML Cite \textit{J. Muñoz Masqué} and \textit{L. M. Pozo Coronado}, J. Phys. A, Math. Gen. 31, No. 29, 6225--6242 (1998; Zbl 0908.58013) Full Text: DOI OpenURL
Koon, Wang Sang; Marsden, Jerrold E. The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. (English) Zbl 0929.70009 Rep. Math. Phys. 40, No. 1, 21-62 (1997). Reviewer: David Martin de Diego (Valladolid) MSC: 70F25 70H05 70H03 70G65 PDF BibTeX XML Cite \textit{W. S. Koon} and \textit{J. E. Marsden}, Rep. Math. Phys. 40, No. 1, 21--62 (1997; Zbl 0929.70009) Full Text: DOI OpenURL
Kanatchikov, Igor V. From the Poincaré-Cartan form to a Gerstenhaber algebra of the Poisson brackets in field theory. (English) Zbl 0855.58026 Sardanashvily, Gennadi A. (ed.), New frontiers in gravitation. Palm Harbor, FL: Hadronic Press. Series on New Frontiers in Advanced Physics. 185-202 (1996). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37J99 81T70 53D50 PDF BibTeX XML Cite \textit{I. V. Kanatchikov}, in: New frontiers in gravitation. Palm Harbor, FL: Hadronic Press. 185--202 (1996; Zbl 0855.58026) Full Text: arXiv OpenURL
Krupková, Olga Symmetries and first integrals of time-dependent higher-order constrained systems. (English) Zbl 0870.58025 J. Geom. Phys. 18, No. 1, 38-58 (1996). MSC: 37J99 70H03 37C80 PDF BibTeX XML Cite \textit{O. Krupková}, J. Geom. Phys. 18, No. 1, 38--58 (1996; Zbl 0870.58025) Full Text: DOI OpenURL
Cianci, Roberto; Francaviglia, Mauro; Volovich, Igor Variational calculus and Poincaré-Cartan formalism on supermanifolds. (English) Zbl 0852.58012 J. Phys. A, Math. Gen. 28, No. 3, 723-734 (1995). MSC: 58C50 81T60 81V22 PDF BibTeX XML Cite \textit{R. Cianci} et al., J. Phys. A, Math. Gen. 28, No. 3, 723--734 (1995; Zbl 0852.58012) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. G. Costantini}, Ann. Mat. Pura Appl. (4) 167, 389--402 (1994; Zbl 0815.58002) Full Text: DOI OpenURL
Ferraris, M.; Francaviglia, M.; Mottini, M. Conserved quantities of the gravitational field in tetrad notation. (English) Zbl 0820.53063 Rend. Mat. Appl., VII. Ser. 14, No. 3, 457-481 (1994). Reviewer: S.Misicu (Bucureşti) MSC: 53Z05 83C40 83C57 PDF BibTeX XML Cite \textit{M. Ferraris} et al., Rend. Mat. Appl., VII. Ser. 14, No. 3, 457--481 (1994; Zbl 0820.53063) OpenURL
Chrastina, Jan Solution of the inverse problem of the calculus of variations. (English) Zbl 0821.49026 Math. Bohem. 119, No. 2, 157-201 (1994). Reviewer: S.Shih (Tianjin) MSC: 49N45 PDF BibTeX XML Cite \textit{J. Chrastina}, Math. Bohem. 119, No. 2, 157--201 (1994; Zbl 0821.49026) Full Text: EuDML OpenURL
Chrastina, Jan On the equivalence of variational problems. II. (English) Zbl 0821.49009 Arch. Math., Brno 29, No. 3-4, 197-220 (1993). Reviewer: A.Salvadori (Perugia) MSC: 49J40 49L99 58A17 PDF BibTeX XML Cite \textit{J. Chrastina}, Arch. Math., Brno 29, No. 3--4, 197--220 (1993; Zbl 0821.49009) Full Text: EuDML EMIS OpenURL
Ferraris, Marco; Francaviglia, Mauro Conservation laws in general relativity. (English) Zbl 0756.53035 Classical Quantum Gravity 9, Suppl., 79-95 (1992). Reviewer: D.Geißler (Hamburg) MSC: 53Z05 83C40 PDF BibTeX XML Cite \textit{M. Ferraris} and \textit{M. Francaviglia}, Classical Quantum Gravity 9, 79--95 (1992; Zbl 0756.53035) Full Text: DOI OpenURL
Cariñena, José F.; López, Carlos Geometric study of Hamilton’s variational principle. (English) Zbl 0747.70013 Rev. Math. Phys. 3, No. 4, 379-401 (1991). MSC: 70H25 58E30 PDF BibTeX XML Cite \textit{J. F. Cariñena} and \textit{C. López}, Rev. Math. Phys. 3, No. 4, 379--401 (1991; Zbl 0747.70013) Full Text: DOI OpenURL
Ferraris, Marco; Francaviglia, Mauro The variational structure of general relativity. (English) Zbl 0741.53044 Constantin Carathéodory: an international tribute. Vol. I, 289-311 (1991). Reviewer: J.-H.Eschenburg (Augsburg) MSC: 53C50 58E30 53C05 PDF BibTeX XML Cite \textit{M. Ferraris} and \textit{M. Francaviglia}, in: The binomial theorem in the algebra \(A^+\). . 289--311 (1991; Zbl 0741.53044) OpenURL
de León, Manuel; Rodrigues, Paulo R. Almost contact structures and time-dependent Lagrangians. (English) Zbl 0757.53016 Port. Math. 47, No. 2, 115-130 (1990). Reviewer: T.Ratiu (Santa Cruz) MSC: 53C15 37J99 PDF BibTeX XML Cite \textit{M. de León} and \textit{P. R. Rodrigues}, Port. Math. 47, No. 2, 115--130 (1990; Zbl 0757.53016) Full Text: EuDML OpenURL
Opriş, Dumitru; Klepp, Francisc C. Conservation laws for Lagrangians in second-order mechanics. (English) Zbl 0795.70012 Gheorghe, Atanasiu (ed.), The Proceedings of the sixth national seminar on Finsler, Lagrange and Hamilton spaces, Brasov, Romania, 1990. Brasov: Societatea de Stiinte Matematice din Romania Universitatea Transilvania Brasov, 123-127 (1990). MSC: 70H03 70H30 70G45 PDF BibTeX XML Cite \textit{D. Opriş} and \textit{F. C. Klepp}, in: The Proceedings of the sixth national seminar on Finsler, Lagrange and Hamilton spaces, Brasov, Romania, 1990. Brasov: Societatea de Stiinte Matematice din Romania Universitatea Transilvania Brasov. 123--127 (1990; Zbl 0795.70012) OpenURL
Harding, T. J.; Bloore, F. J. A fresh approach to the Poincaré-Cartan form for a linear P.D.E. and a map between cohomologies. (English) Zbl 0793.58003 Janyška, Josef (ed.) et al., Differential geometry and its applications. International conference, Brno, Czechoslovakia, 27 Aug. - 2 Sept. 1989. Singapore: World Scientific. 220-229 (1990). Reviewer: M.Puta (Timişoara) MSC: 58A15 37J99 70Sxx PDF BibTeX XML Cite \textit{T. J. Harding} and \textit{F. J. Bloore}, in: Differential geometry and its applications. International conference, Brno, Czećhoslovakia, 27 Aug. - 2. Sept. 1989. Singapore: World Scientific. 220--229 (1990; Zbl 0793.58003) OpenURL
Saunders, D. J. The geometry of jet bundles. (English) Zbl 0665.58002 London Mathematical Society Lecture Note Series, 142. Cambridge etc.: Cambridge University Press. 293 p. £20.00; $ 29.95 (1989). Reviewer: I.Kolář MSC: 58A20 58-02 49Q99 58A15 49S05 PDF BibTeX XML Cite \textit{D. J. Saunders}, The geometry of jet bundles. Cambridge etc.: Cambridge University Press (1989; Zbl 0665.58002) OpenURL
Ferraris, Marco; Francaviglia, Mauro Intrinsic ADM formalism for generally covariant higher-order field theories. (English) Zbl 0675.53062 Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 61-78 (1989). Reviewer: H.Rund MSC: 53B50 83C99 49L99 PDF BibTeX XML Cite \textit{M. Ferraris} and \textit{M. Francaviglia}, Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 61--78 (1989; Zbl 0675.53062) OpenURL
Muñoz Masqué, Jaime The regularity problem in the calculus of variations of second order. (Spanish. English summary) Zbl 0699.49040 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 3-4, 541-544 (1988). MSC: 49Q99 58A15 PDF BibTeX XML Cite \textit{J. Muñoz Masqué}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 3--4, 541--544 (1988; Zbl 0699.49040) Full Text: EuDML OpenURL
Hermann, Robert Differential form methods in the theory of variational systems and Lagrangian field theories. (English) Zbl 0664.49018 Acta Appl. Math. 12, No. 1, 35-78 (1988). Reviewer: J.Chrastina MSC: 49Q99 49Q05 81V99 58A15 78A25 PDF BibTeX XML Cite \textit{R. Hermann}, Acta Appl. Math. 12, No. 1, 35--78 (1988; Zbl 0664.49018) OpenURL
Ferraris, Marco; Francaviglia, Mauro Applications of the Poincaré-Cartan form in higher order field theories. (English) Zbl 0659.58010 Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Math. Appl., East Eur. Ser. 27, 31-52 (1987). Reviewer: M.Modugno MSC: 37J99 53C80 83C40 PDF BibTeX XML OpenURL
Muñoz Masqué, Jaime On a property of higher order Poincaré-Cartan forms in the constructive approach. (English) Zbl 0661.49019 Geometrodynamics, Proc. Int. Meet., Cosenza/Italy 1985, 229-236 (1985). Reviewer: J.Chrastina MSC: 49Q99 53C05 58A15 55R05 PDF BibTeX XML OpenURL
Muñoz Masqué, Jaime Poincaré-Cartan forms in higher order variational calculus on fibred manifolds. (English) Zbl 0606.49026 Rev. Mat. Iberoam. 1, No. 4, 85-126 (1985). Reviewer: J.Chrastina MSC: 49Q99 58A15 58A20 53B05 70H99 PDF BibTeX XML Cite \textit{J. Muñoz Masqué}, Rev. Mat. Iberoam. 1, No. 4, 85--126 (1985; Zbl 0606.49026) Full Text: DOI EuDML OpenURL
Comment by the editors on the paper: The Hamiltonian formalism in higher order variational problems. (English) Zbl 0582.70020 Ann. Inst. Henri Poincaré, Phys. Théor. 42, 213 (1985). MSC: 70H05 70H03 70H99 37J99 PDF BibTeX XML Cite Ann. Inst. Henri Poincaré, Phys. Théor. 42, 213 (1985; Zbl 0582.70020) Full Text: EuDML OpenURL
Muñoz Masqué, Jaime An axiomatic characterization of the Poincaré-Cartan form for second order variational problems. (English) Zbl 0578.58011 Differential geometric methods in mathematical physics, Proc. Int. Conf., Clausthal/Ger. 1983, Lect. Notes Math. 1139, 74-84 (1985). MSC: 58E30 58A10 58A20 PDF BibTeX XML OpenURL
Caubet, Jean-Pierre The great fugue of the Brownian theory of light. (English) Zbl 0563.60046 Stochastic Anal. Appl. 3, 119-151 (1985). MSC: 60G48 60J65 78A02 81P20 PDF BibTeX XML Cite \textit{J.-P. Caubet}, Stochastic Anal. Appl. 3, 119--151 (1985; Zbl 0563.60046) Full Text: DOI OpenURL
Caubet, Jean-Pierre The great fugue of the Brownian theory of light. (English) Zbl 0548.60049 Stochastic Anal. Appl. (to appear). MSC: 60G48 60J65 78A02 81P20 PDF BibTeX XML OpenURL
Muñoz Masqué, Jaime Canonical Cartan equations for higher order variational problems. (English) Zbl 0599.58018 J. Geom. Phys. 1, No. 2, 1-7 (1984). Reviewer: Z.Guo MSC: 58E30 58A15 PDF BibTeX XML Cite \textit{J. Muñoz Masqué}, J. Geom. Phys. 1, No. 2, 1--7 (1984; Zbl 0599.58018) Full Text: DOI OpenURL
Kolář, Ivan A geometrical version of the higher order Hamilton formalism in fibred manifolds. (English) Zbl 0595.58016 J. Geom. Phys. 1, No. 2, 127-137 (1984). Reviewer: B.G.Pachpatte MSC: 37J99 PDF BibTeX XML Cite \textit{I. Kolář}, J. Geom. Phys. 1, No. 2, 127--137 (1984; Zbl 0595.58016) Full Text: DOI OpenURL
Ferraris, M. Fibered connections and global Poincaré-Cartan forms in higher-order calculus of variations. (English) Zbl 0564.53013 Differential geometry and its applications, Proc. Conf., Nové Město na Moravě/Czech. 1983, Pt. 2, 61-91 (1984). Reviewer: Ivan Kolář (Brno) MSC: 53C05 58A20 49Q99 PDF BibTeX XML OpenURL
Novotný, J. On the conservation laws in general relativity. (English) Zbl 0546.53019 Differential geometry and its applications, Proc. Conf., Nové Město na Moravě/Czech. 1983, Pt. 2, 207-211 (1984). MSC: 53B50 83C99 PDF BibTeX XML OpenURL
Krupka, D. Lepagean forms in higher order variational theory. (English) Zbl 0572.58003 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 197-238 (1983). MSC: 58A99 58E30 PDF BibTeX XML OpenURL
Ferraris, M.; Francaviglia, M. On the globalization of Lagrangian and Hamiltonian formalism in higher order mechanics. (English) Zbl 0566.70019 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 109-125 (1983). MSC: 70Hxx 37J99 53C80 PDF BibTeX XML OpenURL
Chrastina, Jan A double complex related with a system of partial differential equations. II. (English) Zbl 0539.58002 Arch. Math., Brno 19, 133-142 (1983). MSC: 58A10 58J10 55N35 35R99 PDF BibTeX XML Cite \textit{J. Chrastina}, Arch. Math., Brno 19, 133--142 (1983; Zbl 0539.58002) Full Text: EuDML OpenURL
Tulczyjew, Wlodzimierz M. Hamiltonian, canonical and symplectic formulations of dynamics. (English) Zbl 0524.58013 Bifurcation theory, mechanics and physics, Proc. Colloq., 1-11 (1983). MSC: 37J99 58A10 70G10 PDF BibTeX XML OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Littlejohn, Robert G. Hamiltonian perturbation theory in noncanonical coordinates. (English) Zbl 0516.70023 J. Math. Phys. 23, 742-747 (1982). MSC: 70H05 34E10 PDF BibTeX XML Cite \textit{R. G. Littlejohn}, J. Math. Phys. 23, 742--747 (1982; Zbl 0516.70023) Full Text: DOI OpenURL
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). MSC: 70H05 70H03 37J99 70H99 PDF BibTeX XML Cite \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 OpenURL
Chrastina, Jan Another approach to the classical calculus of variations. (English) Zbl 0508.58018 Arch. Math., Brno 18, 205-218 (1982). MSC: 58E30 58A10 37J99 PDF BibTeX XML Cite \textit{J. Chrastina}, Arch. Math., Brno 18, 205--218 (1982; Zbl 0508.58018) Full Text: EuDML OpenURL
Ragionieri, Rodolfo; Ricci, Riccardo Hamiltonian formalism in the calculus of variations. (English) Zbl 0481.58019 Boll. Unione Mat. Ital., V. Ser., B 18, 119-130 (1981). MSC: 37J99 70H25 70H03 58E35 53C05 PDF BibTeX XML Cite \textit{R. Ragionieri} and \textit{R. Ricci}, Boll. Unione Mat. Ital., V. Ser., B 18, 119--130 (1981; Zbl 0481.58019) OpenURL
Sarlet, Willy; Cantrijn, Frans Generalizations of Noether’s theorem in classical mechanics. (English) Zbl 0474.70014 SIAM Rev. 23, 467-494 (1981). MSC: 70H03 37J99 37C80 PDF BibTeX XML Cite \textit{W. Sarlet} and \textit{F. Cantrijn}, SIAM Rev. 23, 467--494 (1981; Zbl 0474.70014) Full Text: DOI Link OpenURL
Bismut, Jean-Michel Mécanique aléatoire. (French) Zbl 0457.60002 Lecture Notes in Mathematics. 866. Berlin-Heidelberg-New York: Springer-Verlag. XVI, 563 p. DM 59.00; $ 26.90 (1981). MSC: 60-02 58J65 60Hxx 93E20 60J60 60K35 60G35 93E11 PDF BibTeX XML Full Text: DOI OpenURL
Tulczyjew, W. M. Homogeneous symplectic formulation of field dynamics and the Poincaré- Cartan form. (English) Zbl 0449.70016 Differential geometrical methods in mathematical physics, Proc. Conf. Aix-en-Provence and Salamanca 1979, Lect. Notes Math. 836, 484-497 (1980). MSC: 70H05 70G99 70H03 70H99 58A10 53A15 PDF BibTeX XML OpenURL
Aldaya, Victor; de Azcarraga, Jose A. Variational principles on rth order jets of fibre bundles in field theory. (English) Zbl 0415.58010 J. Math. Phys. 19, 1869-1875 (1978). MSC: 58E30 70Hxx PDF BibTeX XML Cite \textit{V. Aldaya} and \textit{J. A. de Azcarraga}, J. Math. Phys. 19, 1869--1875 (1978; Zbl 0415.58010) Full Text: DOI OpenURL