Methods of differential geometry in classical field theories: k-symplectic and k-cosymplectic approaches M De León, M Salgado-seco, S Vilarino-fernandez
World Scientific, 2015
41 2015 Symmetries and conservation laws in the Günther k-symplectic formalism of field theory N Román-Roy, M Salgado, S Vilarino
Reviews in Mathematical Physics 19 (10), 1117-1147, 2007
41 2007 On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories N Román-Roy, AM Rey, M Salgado, S Vilarino
arXiv preprint arXiv:0705.4364, 2007
40 2007 Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory JM Pons
Journal of Mathematical Physics 52 (1), 012904, 2011
33 2011 k-symplectic Lie systems: theory and applications J De Lucas, S Vilarino
Journal of Differential Equations 258 (6), 2221-2255, 2015
26 2015 Hamilton-Jacobi theory in k-symplectic field theories M De León, DM De Diego, JC Marrero, M Salgado, S Vilarino
arXiv preprint arXiv:1005.1496, 2010
25 2010 Reduction of polysymplectic manifolds JC Marrero, N Román-Roy, M Salgado, S Vilariño
Journal of Physics A: Mathematical and Theoretical 48 (5), 055206, 2015
24 2015 k -Cosymplectic Classical Field Theories: Tulczyjew and Skinner–Rusk FormulationsAM Rey, N Román-Roy, M Salgado, S Vilariño
Mathematical Physics, Analysis and Geometry 15, 85-119, 2012
20 2012 Hamilton-Jacobi theory in k-cosymplectic field theories M De Leon, S Vilarino
arXiv preprint arXiv:1304.3360, 2013
18 2013 Hamilton-Jacobi theory in multisymplectic classical field theories M De León, PD Prieto-Martínez, N Román-Roy, S Vilarino
Journal of Mathematical Physics 58 (9), 092901, 2017
15 2017 On a kind of Noether symmetries and conservation laws in k -cosymplectic field theory JC Marrero, N Román-Roy, M Salgado, S Vilarino
Journal of mathematical physics 52 (2), 022901, 2011
15 2011 k-symplectic and k-cosymplectic Lagrangian field theories: some interesting examples and applications MC Munoz-Lecanda, M Salgado, S Vilarino
International Journal of Geometric Methods in Modern Physics 7 (04), 669-692, 2010
13 2010 Lagrangian submanifolds in k-symplectic settings M de León, S Vilarino
arXiv preprint arXiv:1202.3964, 2012
12 2012 k-symplectic formalism on Lie algebroids M De Leon, DM De Diego, M Salgado, S Vilarino
Journal of Physics A: Mathematical and Theoretical 42 (38), 385209, 2009
11 2009 Geometry of Riccati equations over normed division algebras J de Lucas, M Tobolski, S Vilariño
Journal of Mathematical Analysis and Applications 440 (1), 394-414, 2016
9 2016 Nonholonomic constraints in k-symplectic Classical Field Theories M De Leon, D Martín de Diego, M Salgado, S Vilarino
International Journal of Geometric Methods in Modern Physics 5 (05), 799-830, 2008
9 2008 Multisymplectic structures and invariant tensors for Lie systems X Gràcia, J de Lucas, MC Muñoz-Lecanda, S Vilariño
Journal of Physics A: Mathematical and Theoretical 52 (21), 215201, 2019
7 2019 A new application of k-symplectic Lie systems J de Lucas, M Tobolski, S Vilarino
International Journal of Geometric Methods in Modern Physics 12 (07), 1550071, 2015
6 2015 Methods of Differential Geometry in Classical Field Theories: k-symplectic and k-cosymplectic approaches M De León, M Salgado, S Vilariño
arXiv preprint arXiv:1409.5604, 2014
5 2014 Nonstandard connections in -cosympletic field theory MC Muñoz-Lecanda, M Salgado, S Vilariño
Journal of mathematical physics 46 (12), 122901, 2005
5 2005