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 | 59 | 2015 |
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 | 47 | 2007 |
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 | 46 | 2007 |
Reduction of polysymplectic manifolds JC Marrero, N Román-Roy, M Salgado, S Vilariño Journal of Physics A: Mathematical and Theoretical 48 (5), 055206, 2015 | 37 | 2015 |
Noether symmetries, energy–momentum tensors, and conformal invariance in classical field theory JM Pons Journal of Mathematical Physics 52 (1), 2011 | 37 | 2011 |
k-symplectic Lie systems: theory and applications J De Lucas, S Vilarino Journal of Differential Equations 258 (6), 2221-2255, 2015 | 31 | 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 | 26 | 2010 |
k-Cosymplectic Classical Field Theories: Tulczyjew and Skinner–Rusk Formulations AM Rey, N Román-Roy, M Salgado, S Vilariño Mathematical Physics, Analysis and Geometry 15, 85-119, 2012 | 21 | 2012 |
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), 2011 | 20 | 2011 |
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), 2017 | 19 | 2017 |
Hamilton-Jacobi theory in k-cosymplectic field theories M De Leon, S Vilarino arXiv preprint arXiv:1304.3360, 2013 | 19 | 2013 |
Lagrangian submanifolds in k-symplectic settings M de León, S Vilarino arXiv preprint arXiv:1202.3964, 2012 | 16 | 2012 |
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 | 15 | 2010 |
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 | 13 | 2009 |
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 | 9 | 2019 |
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 Martin de Diego, M Salgado, S Vilarino International Journal of Geometric Methods in Modern Physics 5 (05), 799-830, 2008 | 9 | 2008 |
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 | 7 | 2015 |
Symmetries in Lagrangian field theory L Búa, I Bucataru, M de León, M Salgado, S Vilarino Reports on Mathematical Physics 75 (3), 333-357, 2015 | 7 | 2015 |
On k-polycosymplectic Marsden–Weinstein reductions J De Lucas, X Rivas, S Vilariño, BM Zawora Journal of Geometry and Physics 191, 104899, 2023 | 5 | 2023 |