Research

• Differential geometry and its applications to mathematical physics, mechanics and control theory
• geometric structures for singular lagrangians
• gauge transformations, higher-order lagrangians
• singular differential equations
• geometry of constrained variational calculus

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

Duration: 2006-2008

Main reseacher: Narciso Román Roy

•  X. Gràcia and R. Martín: Vector hulls and jet bundles, pp. 215-220 in Proceedings of the XIII Fall Workshop on Geometry and Physics, Murcia, 2004 (Publicaciones de la Real Sociedad Matemática Española, Vol. 9, 2005)

• [FILE] X. Gràcia and R. Martín: Geometric aspects of time-dependent singular differential equations, Int. J. Geometric Methods in Mod. Phys. 2 (2005) 597-618  

• [FILE] X. Gràcia and R. Martín: Regularity and symmetries of nonholonomic systems, J. Phys. A: Math. Gen. 38 (2005) 1071-1087  

• X. Gràcia and R. Martín: Time-dependent singular systems, pp. 155-160 in Proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra, 2003 (Publicaciones de la RSME, Vol. 7, 2004)

•  X. Gràcia and R. Martín: Nonholonomic systems and the relativistic particle, pp. 223-228,  in Proceedings of the XI Fall Workshop on Geometry and Physics, Oviedo, 2002 (Publicaciones de la RSME, Vol. 6, 2004)