Publications:

• Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincaré-Herglotz equations.
  (With A. Anahory, L Colombo, M. de León and S. Souto)
  (Preprint), arXiv: 2408.06892.
  

• Contact formalism for dissipative mechanical systems on Lie algebroids.
  (With A. Anahory, L Colombo, M. de León and S. Souto)
  (Preprint), arXiv: 2308.00990.
  

• Some contributions to k-contact Lagrangian field equations, symmetries and dissipation laws.
  (With X. Rivas and S. Souto)
  Reviews in Mathematical Physics, Volume 36, No. 08, 2450019, (2024).
  

• Euler-Lagrange-Herglotz equations on Lie Algebroids.
  (With A. Anahory, L Colombo, M. de León and S. Souto)
  Analysys and Mathematical Physics, Volume 14, article number 3, (2024).
  

• Symmetry reduction, integrability and reconstruction in k-symplectic field theory.
  (With Lucía Búa and Tom Mestdag)
  Journal of Geometric Mechanics, Volume 7, Number 4, 2015, pp. 395-429.
  

• Methods of Differential Geometry in Classical Field Theories: k-Symplectic and k-Cosymplectic Approaches.
  (With Manuel de León and Silvia Vilariño)
  Singapur, 2015. World Scientific.
  ISBN: 978-981-4699-75-4.

• Symmetries in Lagrangian Field Theory.
  (With Lucía Búa, Ioan Bucataru, Manuel de León and Silvia Vilariño)
  Reports on Mathematical Physics, Vol. 75, No. 3 (2015) 333-357.
  

• Reduction of polysimplectic manifolds.
  (With Juan Carlos Marrero, Narciso Román-Roy and Silvia Vilariño)
  J. Phys. A.: Math. Theor. 48 (2015), 055206 (43 pp)
  DOI: 10.1088/1751-8113/48/5/055206

• Higher-order Noether symmetries in k-symplectic Hamiltonian Field Theory.
  (With Narciso Roman-Roy and Silvia Vilariño)
  International Journal of Geometric Methods in Modern Physics Vol. 10, No. 8 (2013) 1360013 (9 pages)
  DOI: 10.1142/S021988781360013X

• Symmetries, Newtonoid vector fields and conservation laws in the Lagrangian k-symplectic formalism.
  (With Lucía Búa and Ioan Bucataru)
  Reviews in Mathematical Physics Vol. 24, No. 10 (2012) 1250030 (24 pages)
  DOI: 10.1142/S0129055X12500304

• k-Cosymplectic Classical Field Theories: Tulczyjew and Skinner-Rusk Formulations.
  (With Ángel M. Rey, Narciso Román-Roy and Silvia Vilariño)
  Mathematical Physics, Analysis and Geometry Vol. 15, 2012
  

• On the k-Symplectic, k-Cosymplectic and Multisymplectic Formalism of Classical Field Theories.
  (With Narciso Román-Roy, Ángel M. Rey and Silvia Vilariño)
  Journal of Geometric Mechanics Vol. 3, no. 1, March 2011
  arXiv:0705.4364[math-ph]
  

• On a kind of Noether symmetries and conservation laws in k-cosymplectic Field Theory.
  (With Juan Carlos Marrero, Narciso Román-Roy and Silvia Vilariño)
  Journal of Mathematical Physics 52, 022901 (2011), 20 pp
  arXiv:1009.2703v1[math-ph]
  

• SOPDEs and nonlinear connections.
  (With Narciso Román-Roy and Silvia Vilariño)
  Publicationes Mathematicae Debrecen 78/2 (2011), 297-316
  

• Hamilton-Jacobi theory in k-symplectic Field Theory.
  (With M. de León, Juan Carlos Marrero, D. Martín de Diego, Narciso Román-Roy and Silvia Vilariño)
  International Journal of Geometric Methods in Modern Physics, Vol. 7, No. 8 (2010) 1491-1507
  

• k-symplectic and k-cosymplectic Lagrangian field theories: some interesting examples and applications.
  (With Miguel C. Muñoz-Lecanda and Silvia Vilariño)
  International Journal of Geometric Methods in Modern Physics, Vol. 7, No. 4 (2010) 669-692
  

• k-symplectic formalism on Lie algebroids.
  (With Manuel de León, D. Martín de Diego and Silvia Vilariño)
  J. Phys. A: Math. Theor. 42 (2009) 385209 (31 pp)
  

• Geometric Structures in Field Theory.
  (With Manuel de León, Michael Mclean, Larry K. Norris and Angel M. Rey)
  Preprint. math-ph/0208036

• Nonholonomic constraints in k-symplectic Classical Field Theories.
  (With M. de León, D. Martín de Diego and Silvia Vilariño)
  International Journal of Geometric Methods in Modern Physics, Vol. 5, No. 5 (2008) 799-830
  arXiv:math-ph/0803.1540 [ps, pdf, other]

• Symmetries and conservation laws in the Günther k-symplectic formalism of field theory.
  (With Narciso Román-Roy and Silvia Vilariño)
  Reviews in Mathematical Physics, Vol. 19, No. 10 (2007), 1-31
  math-ph/0703035

• Nonstandard connections in k-cosymplectic field theory.
  (With Miguel C.Muñoz-Lecanda and Silvia Vilariño)
  Journal of Mathematical Physics 46 (2005), no. 12, 1 22901, 25 pp.

• Günther's formalism (k-symplectic formalism) in classical field theory: Skinner-Rusk approach and the evolution operator.
  (With Angel M. Rey and Narciso Román-Roy)
  Journal of Mathematical Physics 46 (2005), no. 5, 052901, 24 pp
  math-ph/0412004 

• The Günther's formalism in classical field theory: momentum map and reduction.
  (With Florian Munteanu and Angel M. Rey)
  Journal of Mathematical Physics 45 (2004), no. 5, 1730-1751.

• Connections of higher order and product preserving functors.
  (With Jacek Gancarzewicz and Noureddine Rahmani)
  Czechoslovak Math. J. 52 (127) (2002), no. 4, 889-896.

• k-cosymplectic manifolds and Lagrangian field theories
  (With Manuel de León and Eugenio Merino)
  Journal of Mathematical Physics 42 (2001) , no. 2, 2092-2104.

• Hamiltonian systems on k-cosymplectic manifolds.
  (With Manuel de León, E. Merino, J.A. Oubiña and Paulo R. Rodrigues)
  Journal of Mathematical Physics 39 (1998), no.2, 876-893.

• Stable almost cotangent structures.
  (With Manuel de León, E. Merino and J.A. Oubiña)
  Bolletino della U. M. I. (7) 11 (1997), 509-529.

• A global characterization of jet bundles of p¹-velocities and covelocities.
  (With Manuel de León, Eugenio Merino and J.A. Oubiña)
  Ann. Fac. Sc. Toulouse (6) 4 (1995), no. 1, 61-75.

• A characterization of higher order tangent bundles.
  (With Manuel de León and J.A. Oubiña)
  Contributions to Algebra and Geometry 36 (1995), no. 1, 73-87.

• A characterization of tangent and stable tangent bundles.
  (With Manuel de León, Eugenio Merino and J.A. Oubiña)
  Ann.Inst. Henri Poincaré, Physique thèorique, 61 (1994), no. 1, 1-15.

• Integrable almost s-tangent structures.
  (With Manuel de León and J.A. Oubiña)
  Rendiconti di Matematica (7) 14 (1994), 609-623.

• p-Almost cotangent structures.
  (With Manuel de León and I. Méndez)
  Bolletino della U. M. I. A (7) (1993), 97-107.

• Almost s-tangent structures of higher order.
  (With Manuel de León, J.A. Oubiña and P.R. Rodrigues)
  Pacific Journal of Math. 154 (1992) , no. 2, 201-213.

• Existence of p-almost tangent structures.
  (With L.A. Cordero, Manuel de León and Isabel Méndez)
  Czechoslovak Math. J. 42 (117) (1992), 225-234.

• Integrable p-almost tangent structures and tangent bundles of p¹-velocities.
  (With Manuel de León and Isabel Méndez)
  Acta Math. Hung. 58 (1991), no.1-2, 45-54.

• The tangent bundle of p^r-velocities over a homogeneous space.
  (With Jacek Gancarzewicz)
  Czechoslovak Math J.41 (116) (1991), 570-591.

• Horizontal lifts of tensor fields and connections to the tangent bundle of higher order.
  (With Jacek Gancarzewicz)
  Proc. of the Winter School on Geometry and Physics, Srni (Checoslovaquia), Suppl. Rend. Cir. Mat. Palermo, Serie II, n. 21, 151-178, (1989).

• p-Almost tangent structures.
  (With Manuel de León and Isabel Méndez)
  Rendiconti del Circolo Matematico de Palermo, (2) 37 (1988), 282-294.

• Regular p-almost cotangent structures.
  (With Manuel de León and Isabel Méndez)
  J. Korean Math. Soc. 25 (1988), no.2, 273-287.

• Tensor fields and connections on cross-sections in the frame bundle of second order of a parallelizable manifold.
  (With Manuel de León)
  Publications de l'Institut Mathematique, 43 (57) (1988),143-159.

• Prolongations of G-structures to the frame bundle of second Order.
  (With Manuel de León)
  Publicationes Mathematicae Debrecen, 35 (1988), 21-36.

• Diagonal prolongations of G-structures to the frame bundle of second order.
  (With Manuel de León)
  Analele Univ. Din Bucaresti, XXXVI (1988), 40-51.

• Connections of order k on M and polynomial structures on T^kM.
  (With Manuel de León and Isabel Méndez)
  Ann. St. Univ. Al. I. Cuza, XXXIII (1987) , 267-276.

• Lifts of derivations to the frame bundle.
  (With Manuel de León)
  Czechoslovak Math. 37 (112) (1987), 42-50.

• Lifts of derivations to the tangent bundle of p^r-velocities.
  (With Manuel de León)
  J. Korean Math. Soc. 23 (1986), no. 32, 135-140.

• Diagonal lifts of tensor fields to the frame bundle of second order.
  (With Manuel de León)
  Acta Sci. Math. (Hungary) 50 (1986), 67-68.

• G-structures on the frame bundle of second order.
  (With Manuel de León)
  Riv. Mat. Univ. Parma (4) 11 (1985), 161-179.

• A characterization of geodesics of second order.
  (With Manuel de León)
  Boletin da Academia Galega de Ciencias. Vol. II, 103-106, (1983).