Research

• Geometric structures in Physics
  • Lagrangian and hamiltonian formalisms
  • Higher-order systems, time-dependent systems
  • Classical field theory
  • Singular differential equations
  • Symmetries and reduction
  • Geometric quantization
  • Supermanifolds

Title: Geometry and Control: Applicactions in Physics and Technology (MTM2005-04947)
Supported by: Ministerio de Ciencia y Tecnología

Duration: 2005-2008

Main reseacher: Narciso Román Roy

• A. Echeverría-Enríquez, M. de León, M.C. Muñoz-Lecanda, N. Román-Roy: Extended Hamiltonian formalism of field theories: Variational aspects and other topics,  (2005)

• [FILE] A. Echeverría-Enríquez, L.A. Ibort, M.C. Muñoz-Lecanda, N. Román-Roy: Invariant forms and automorphisms of a class of multisymplectic manifolds, 2004

• [FILE] M. Barbero-Liñan, A. Echeverria-Enriquez, D. Martin de Diego, M.C. Muñoz-Lecanda, N. Roman-Roy:  Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications, Preprint 2007

• [FILE] A. Echeverría-Enríquez, M. de León, M.C. Muñoz-Lecanda, N. Román-Roy: Hamiltonian systems in multisymplectic field theories,  Seventh International Conference on Geometry, Integrability and Quantization June 2–10, 2005, Varna, Bulgaria Ivaïlo M. Mladenov and Manuel De Leon, Editors SOFTEX, Sofia 2005, pp 1–11

• A. Echeverría-Enríquez, J. Marín-Solano, M.C. Muñoz-Lecanda, N. Román-Roy: Symmetries and reduction in optimal control theory, Publicaciones de la Real Sociedad Matemática Española, 6 (2004), 203-208

• A. Echeverría-Enríquez, C. López, J. Marín-Solano, M.C. Muñoz-Lecanda and N. Román-Roy: Skinner-Rusk formulation in Classical Field Theory, Publicaciones de la Real Sociedad Matemática Española, 7 (2004), 211-216

• [FILE] A. Echeverría-Enríquez, C. López, J. Marín-Solano, M.C. Muñoz-Lecanda, N. Román-Roy: Lagrangian-Hamiltonian unified formalism for field theory, J. Math. Phys. 45(1) (2004) 360-380

• [FILE] A. Echeverría-Enríquez, J. Marín-Solano, M.C. Muñoz-Lecanda, N. Román-Roy: Geometric reduction in optimal control theory with symmetries, Rep. Math. Phys. 52(1) (2003) 89-113

• [FILE] A. Echeverría-Enríquez, J. Marín-Solano, M.C. Muñoz-Lecanda, N. Román-Roy: On the construction of K-operators in field theories as sections along Legendre maps', Acta Appl. Math. 77(1) (2003) 1-40

• A. Echeverría-Enríquez, J. Marín-Solano, M.C. Muñoz-Lecanda, N. Román-Roy: On a kind of field operators in field theories, Publicaciones de la Real Sociedad Matemática Española, 4 (2003), 105-115

• [FILE] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: A geometrical analysis of the field equations in field theories, Int. J. Math. and Math. Sciences 29(12) (2002), 687-700

• [FILE] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: Multivector Fields and Connections. Applications to field theories, Rev. R. Acad. Cien. Ser. A  Math.. 96(1) (2002), 83-93

• [FILE] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: A geometrical analysis of the field equations in field theories, Int. J. Maths. and Math. Sciences 29(12) (2002) 687-700

• A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: Equations and symmetries in covariant Hamiltonian field theories, Publicaciones de la Real Sociedad Matemática Española, 2 (2001), 55-66

• [FILE] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: Geometry of Multisymplectic Hamiltonian First-order Field Theories, J. Math. Phys. 41(11) (2000) 7402-7444

• [FILE] A. Echeverría-Enríquez, M.C. Muñoz-Lecanda, N. Román-Roy: On the Multimomentum Bundles and the Legendre Maps in Field Theories, Rep. Math. Phys. 45(1) (2000) 85-105

• ALL PAPERS