Research

• Geometry of Poisson and Jacobi manifolds
• Geometry of Lie Groupoids and Lie Algebroids
• Dynamical systems defined on Lie Groupoids and Lie Algebroids

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

• 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] 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.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. 

• E. Padrón and D. Sosa: Nambu-Poisson and Compatible Leibniz algebroids. Proceedings del XII Fall Workshop on Geometry and Physics, Coimbra, 2003, Publ. de la RSME, Vol. 7  (2003), 229-234.