GMC Network

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Research

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

Preprints

Recent Publications (since 2000)

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

[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] 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

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

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.

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.

[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.

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