Juan Carlos Marrero González

Juan Carlos Marrero González

Personal Data

Professor in Geometry and Topology

University of La Laguna

email: jcmarrer at ull.es

address

fax/phone

Departamento de Matemática Fundamental
Facultad de Matemáticas
Universidad de La Laguna
C/ Astrofísico Fco. Sánchez s/n, La Laguna, Tenerife, 38071, Canary Islands, Spain

FAX

+34 922318145

PHONE

+34 922318163

Links

Departament of Fundamental Mathematics

University of La Laguna

_____________________________________________________________________________________

Research

Geometrical methods in Classical Mechanics
Geometrical methods in Classical field Theories
Geometry of Poisson and Jacobi manifolds
Geometry of Lie Groupoids and Lie Algebroids
Dynamical systems defined on Lie Groupoids and Lie Algebroids

Research project

Title: Geometric Mechanics and Classical Field Theories in the context of Lie algebroids and groupoids (BFM2006-03322)

Supported by: Ministerio de Ciencia y Tecnología

Duration: 2006-2009

Main researcher: Juan Carlos Marrero González

[FILE] J. Cortés, M. de León, J.C. Marrero, E. Martínez: Nonholonomic Lagrangian systems on Lie algebroids, Preprint 2006
[FILE] D. Iglesias, J.C. Marrero, D. Martin de Diego, D. Sosa: A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids, Preprint (2007)
[FILE] D. Iglesias, J.C. Marrero, D. Martin de Diego, E. Martinez: Discrete Nonholonomic Lagrangian Systems on Lie Groupoids, Preprint (2007)

Recent Publications (since 2000)

[FILE] Manuel de Leon, Juan Carlos Marrero, David Martin de Diego: Some applications of semi-discrete variational integrators to classical field theories, to appear in Qualitative Theory of Dynamics systems (2007)

[FILE] D. Iglesias, J.C. Marrero, D. Martin de Diego, E. Martinez, E. Padron: Reduction of symplectic Lie algebroids by a Lie subalgebroid and a symmetry Lie group, to appear in SIGMA (2007)

[FILE] Juan Carlos Marrero, David Martín de Diego and Eduardo Martínez: Discrete Lagrangian and Hamiltonian Mechanics on Lie groupoids, to appear in Nonlinearity (2006)

JC Marrero and D. Sosa: Hamilton formalism on a Lie algebroid: some alternative models, to appear in Proceedings del XIV Fall Workshop on Geometry and Physics, Bilbao, 2005, Publ. de la RSME, Vol. 9 (2006)

[FILE] Jorge Cortes, Manuel de Leon, Juan Carlos Marrero, David Martín de Diego and Eduardo Martínez: A survey of Lagrangian mechanics and control on Lie algebroids and groupoids,To appear in Int. J. Geom. Meth. Mod. Phys.

[FILE] M. de León, J. Marín-Solano, J.C. Marrero, M.C. Muñoz-Lecanda, N. Román-Roy: Pre-multisymplectic constraint algorithm for field theories, Int. J. Geom. Meth. Mod. Phys., 2 (2005), 839-873.

[FILE] D. Iglesias, J.C. Marrero, E. Padrón, D. Sosa: Lagrangian submanifolds and dynamics on Lie affgebroids, to appear in Rep. Math Phys. (2006)

[FILE] J.C. Marrero, D. Sosa: Hamilton-Jacobi Equation on Lie Affgebroids, to appear in Int. J. Geom. Meth. Mod. Phys. (2006)

[FILE] J. Grabowski, D. Iglesias, J.C. Marrero, E. Padrón, P. Urbanski: Jacobi structures on affine bundle, to appear in Acta Math. Sinica (2006)

[FILE] J.C. Marrero, D. Sosa: Tulczyjew’s triple associated with a Lie affgebroid, Proceedings del XIII Fall Workshop on Geometry and Physics, Murcia Septiembre 20-22, 2004, Publ. de la RSME, Vol 8 (2005) 66-79.

[FILE] D. Iglesias, J.C. Marrero, E. Padrón, D. Sosa: Compatibility between Lie affgebroid and affine Jacobi structures on an affine bundle, Proceedings del XIII Fall Workshop on Geometry and Physics, Murcia Septiembre 20-22, 2004, Publ. de la RSME, Vol. 8 (2005), 227-232.

[FILE] M. de Léon, J. Marín-Solano, J.C. Marrero, M.C. Muñoz Lecanda, N. Román-Roy: Constraint Algorithm for singular field theories, Proceedings del XIII Fall Workshop on Geometry and Physics, Murcia Septiembre 20-22, 2004, Publ. de la RSME, Vol. 8 (2005), 233-239.

[FILE] Manuel de León, Juan Carlos Marrero and Eduardo Martínez: Lagrangian submanifolds and dynamics on Lie algebroids, Journal of Physics A.: Math. Gen. (Topical Review) 38 (2005) R241-R308

[FILE] J. Grabowski, D. Iglesias, J.C. Marrero, E. Padrón, P. Urbanski: Poisson-Jacobi reduction of homogeneous tensor, J. Phys. A: Math. Gen. 37 (2004) 5383-5399

[FILE] D. Iglesias, J.C. Marrero: On locally conformal symplectic groupoids, Proceedings of XI Fall workshop on Geometry and Physics, septiembre 2002, PUBL. RSME, 6 (2004) 93-102

[FILE] D. Iglesias, J.C. Marrero: Jacobi groupoids and generalized Lie bialgebroids, J. Geom. Phys. 48, (2004) 385-425

[FILE] D. Iglesias, J.C. Marrero: Generalized Lie bialgebras and Jacobi structures on Lie groups, Israel J. Math., 133 (2003) 133-285.

[FILE] M. de León, J.C. Marrero, D. Martín de Diego: A new geometric setting for classical field theories, Banach Center Pub. 59 (2003), 189-209.

M. de León, B. López, J.C. Marrero, E. Padrón: On the computation of the Lichnerowicz-Jacobi cohomology, J. Geom. Phys. 44 (2003), 507-522

[FILE] M. de Léon, J. Marín-Solano, J.C. Marrero, M.C. Muñoz-Lecanda, N. Román-Roy: Singular Lagrangian systems on Jet bundles. Fortschr. Phys., 50 (2) (2002) 105-169.

D. Iglesias, J.C. Marrero: Generalized Lie bialgebroids and strong Jacobi Nijenhuis structures. Extracta Math. 17, (2002) 259-271.

[FILE] D. Iglesias, J.C. Marrero: Lie algebroid foliations and E^1(M)-Dirac structures. J. Phys. A: Math. Gen., 35 (2002) 4085-4104.

J. C. Marrero , J. Monterde, E. Padrón: Jacobi-Nijenhuis manifolds, Proceedings del VIII Encuentro de Otoño sobre Geometría y Física, Medina del Campo, Valladolid (Septiembre 1999), Pub. de la RSME, 2 (2001) 195-208.

M. de León, J.C. Marrero, E. Padrón: On the geometric quantization of brackets. Rev. R. Acad. Cienc. Serie A Mat., 95 (1) (2001) 65-83.

D. Iglesias, B. López , J.C. Marrero, E. Padrón: Triangular generalized Lie bialgebroids: Homology and cohomology theories. Banach Center Pub., 54 (2001) 111-133.

D. Iglesias, J.C. Marrero: Lie algebroids, Jacobi structures and Lie groups, Proceedings of the IX Fall Workshop on Geometric and Physics, Vilanova I la Geltrú, 2000, Publicaciones de la RSME, 3 (2001) 89-106.

R. Ibáñez, B. López, J.C. Marrero, E. Padrón: Matched pairs of Leibniz algebroids, Nambu-Jacobi structures and modular class, C.R. Acad. Sci. Paris, Ser.I (2001) 861-866.

A. Ibort, M. de León, E.A. Lacomba, J.C. Marrero, D. Martín de Diego, P. Pitanga: Geometric formulation of Carnot’s theorem, J. Phys. A: Math. and Gen., 34 (2001) 1691-1712.

[FILE] D. Iglesias, J.C. Marrero: Generalized Lie bialgebroids and Jacobi structures, J. Geom. and Phys., 40 (2001) 176-199.

[FILE] R. Ibáñez, M. de León, B. López, J. C. Marrero, E. Padrón: Duality and modular class of a Nambu-Poisson structure, J. Phys. A: Math. Gen., 34 (2001) 3623-3650.

A. Ibort, M. de León, E. A Lacomba, J. C Marrero, D. Martín de Diego: P. Pitanga. Geometric formulation of Carnot’s theorem. Journal of Physics A: Math. Gen. 34 (2001), 1691-1712.

M. de León, J.C. Marrero, David Martín de Diego: Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach, Journal of Geometry and Physics 35 (2000), 126-144.

F. Cantrijn, M. de León, J.C. Marrero, D. Martín de Diego: On almost Poisson structures in nonholonomic mechanics II: the time-dependent framework, Nonlinearity, 13, (2000) 1379-1409.

[FILE] D. Iglesias, J.C. Marrero: Some linear Jacobi structures on vector bundles, C.R. Acad. Sci. París (Serie I), 331 (2000) 125-130

M. de León, J.C. Marrero, D. Martín de Diego: The geometry of the phase space of a non holonomic mechanical system, Proceedings del VII Encuentro de Otoño de Geometría y Física, Valencia (Septiembre, 1998), Pub. de la RSME, 1, (2000)107-118.

ALL PAPERS