Research Papers

 

 

·         Hierarchies and compatibility on Courant algebroids, arXiv:1111.0800 (with P. Antunes and C. Laurent-Gengoux).

 

 

·         Reduction and construction of Poisson quasi-Nijenhuis manifolds with background, Int. J. Geom. Meth. Modern Phys., 7 (2010) 539-564 (with Flávio Cordeiro).

 

 

·         On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms, J. Geom. and Phys. 60 (2010) 951-961 (with Antonio De Nicola and Raquel Caseiro).

 

 

·         On Poisson quasi-Nijenhuis Lie algebroids, arXiv0806.2467, (with Raquel Caseiro and Antonio De Nicola).

 

 

·         Characteristic foliation of twisted Jacobi manifolds, Proceedings of the XV International Workshop on Geometry and Physics (Puerto de la Cruz, 2006), Publ. R. Soc. Mat. Esp. vol 11, 324-329, 2007 (with Fani Petalidou).

 

 

·         Jacobi-Nijenhuis algebroids and their modular classes, J. Phys. A: Math. Theor. 40 (2007)  13311-13330 (with Raquel Caseiro).

 

 

·         Quasi-coordinates from the point of view of Lie algebroid structures, J. Phys. A: Math. Theor. 40 (2007) 10031-10048 (with J.F. Cariñena and P. Santos).

 

 

·         On quasi-Jacobi and Jacobi-quasi bialgebroids, Lett. Math. Physics 80 (2007) 155-169 (with Fani Petalidou).

 

 

·         Reduction of Lagrangian mechanics on Lie algebroids, J. Geom. Phys. 57 (2007) 977-990 (with J. F. Cariñena and Patrícia Santos).

 

 

·         Twisted Jacobi manifolds, Proceedings of the XIV Fall Workshop on Geometry and Physics (Bilbao 2005) Publ. R. Soc. Mat. Esp. vol 10, 279-284, 2006 (with Fani Petalidou).

 

 

·         Quasi-coordinates and Lagrangian mechanics on Lie algebroids, Proceedings of the XIV Fall Workshop on Geometry and Physics (Bilbao 2005) Publ. R. Soc. Mat. Esp. vol 10, 249-254, 2006 (with J.F. Cariñena and P. Santos).

 

 

·         Twisted Jacobi manifolds, twisted Dirac-Jacobi structures and quasi-Jacobi bialgebroids, J. Phys. A: Math. Gen. 39 (2006) 10449-10475 (with F. Petalidou).

 

 

·         Internal deformation of Lie algebroids and symplectic realizations, J. Phys. A: Math. Gen. 39 (2006) 6897-6918 (with J.F. Cariñena and P. Santos).

 

 

·         Integrable systems and recursion operators on symplectic and Jacobi manifolds, Encyclopedia of Mathematical Physics, eds J.-P. Françoise, G. L. Naber and S. T. Tsou, Oxford: Elsevier, 2006, vol III, p.87.  (with R. Caseiro)

 

 

·         Dirac structures for generalized Courant and Courant algebroids, Trav. Math. 16 (2005) 265-272 (with Fani Petalidou).

 

 

·         Reduction of Lie algebroid structures, Int.J.Geom.Methods Mod.Phys. 2, 5 (2005) 965-991 (with J.F. Cariñena and P. Santos).

 

 

·         Reduction of Jacobi manifolds via Dirac structures theory, Diff. Geom. and its Applic. 23 (2005) 282-304 (with Fani Petalidou).

 

 

·         Jacobi manifolds, Dirac structures and Nijenhuis operators, preprint 04-30, DMUC, 2004 (with J. Clemente-Gallardo).

 

 

·         The negative relativistic Toda hierarchy and rational Poisson brackets, Qual. Theory Dyn. Syst. 5, 1 (2004) 121-134 (with P. A. Damianou).

 

 

·         Dirac-Nijenhuis structures, J. Phys. A: Math. Gen. 37 (2004) 7267-7296 (with J. Clemente-Gallardo).

 

 

·         Deformations of Dirac structures by Nijenhuis operators, Proceedings of the XII Fall Workshop on Geometry and Physics (Coimbra, 2003) Publ. R. Soc. Mat. Esp. vol 7, 205-210, 2004 (with J. Clemente-Gallardo).

 

 

·         Dirac Structures for generalized Lie bialgebroids, J. Phys. A: Math. Gen. 37 (2004) 2671-2692 (with J. Clemente-Gallardo).

 

 

·         Local structure of Jacobi-Nijenhuis manifolds, J. Geom. Phys. 45, 3-4 (2003) 323-367 (with Fani Petalidou).

 

 

·         A characterization of strict Jacobi-Nijenhuis manifolds through the theory of Lie algebroids, Rep. on Math. Phys. 50, 3 (2002) 339-347.

 

 

·         Reduction of Jacobi-Nijenhuis manifolds, J. Geom. Phys. 41, 3 (2002) 181-195 (with Fani Petalidou).

 

 

·         JR-manifolds -- a way to combine Lie algebroids and Jacobi structures, The J. A. Pereira da Silva Birthday Schrift, Textos de Matemática, Série B, 32, pp. 179-190, DMUC, 2002.

 

 

·         Toda Systems and exponents of simple Lie groups, Bull. Sci. Math. 125, 1 (2001) 49-69 (with P. Damianou).

 

 

·         Two multiple hamiltonian formulations for Toda systems associated with simple Lie groups, Proceedings of the IX Fall Workshop on Geometry and Physics (Vilanova i la Geltrú, Spain, 2000) Publ. R. Soc. Mat. Esp. 3, 251-256, R. Soc. Mat. Esp., Madrid, 2001 (with P. Damianou).

 

 

·         Some remarks on the Poisson-Nijenhuis and the Jacobi structures, Summer School on Differential Geometry, (Coimbra, 1999) 109-117, A. M. d'Azevedo Breda, F. J. Craveiro de Carvalho, J. M. Nunes da Costa and Bernd Wegner editores, Coimbra, 2000.

 

 

·         Compatible Jacobi manifolds: geometry and reduction, J. Phys. A: Math. Gen. 31 (1998) 1025-1033.

 

 

·         Compatible Jacobi manifolds, Geometria, Física-Matemática e outros Ensaios, volume de homenagem a António Ribeiro Gomes, A. S. Alves, F. J. Craveiro de Carvalho e J. A. Pereira da Silva editores, pp. 189-202, Departamento de Matemática, Universidade de Coimbra, 1998.

 

 

·         Bi-Hamiltonian manifolds - an application to the relativistic Toda lattice and a generalization to the Jacobi manifolds, Proceedings of the 1st International Meeting on Geometry and Topology (Braga, 1997) 149-156, Public. C. Mat. Univ. Minho, Braga, 1998.

 

 

·         Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice, J. Phys. A: Math. Gen. 30 (1997) 7551-7556 (with C.-M. Marle).

 

 

·         Reduction of Poisson complex manifolds, Port. Math. 54, 4 (1997) 467-476.

 

 

·         Reduction of higher Poisson-Nijenhuis manifolds by the Flaschka transformation, Proceedings of the 4th International Congress of Geometry (Thessaloniki, 1996) 319-326, Academy of Athens, Aristotle Univ. Thessaloniki, 1997.

 

·         Reduction of bihamiltonian manifolds and recursion operators, Differential Geometry and Applications (Brno, 1995), 523-538, Masaryk Univ., Brno, 1996 (with C.-M. Marle).

 

 

·         Jacobi actions of SO(2)xR2 and SU(2,C) on two Jacobi manifolds, Port. Math. 52, 1 (1995) 95-107.

 

 

·         Considerações sobre Redução em Geometria Simplética, in Estudos de Matemática - volume em homenagem ao Professor Doutor Renato Pereira Coelho, 67-82, Departamento de Matemática, Universidade de Coimbra, 1992.

 

 

·         Une généralisation, pour les variétés de Jacobi, du théorème de réduction de Marsden-Weinstein, C. R. Acad. Sci. Paris, Série I, 310, 6 (1990) 411-414.

 

 

·         Réduction des variétés de Jacobi, C. R. Acad. Sci. Paris, Série I, 308, 4 (1989) 101-103.

 

 

 

·         Book/Author

 

 

·         Cálculo com Funções de Várias Variáveis, Ed. McGraw-Hill de Portugal Lda., 1996 (with Ana d’Azevedo Breda).

 

 

·         Books/Editor

 

 

·         Proceedings Summer School on Differential Geometry, Coimbra, 3/7 September 1999, Coimbra 2000 (with A. M. d'Azevedo Breda, F. J. Craveiro de Carvalho and Bernd Wegner).

 

 

·         The J. A. Pereira da Silva Birthday Schrift, Textos deMatemática, Série B, 32, DMUC 2002 (with H. Albuquerque, R. Caseiro and F. J. Craveiro de Carvalho).

 

 

·         Proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra, 8 a 10 de Setembro de 2003, Publicaciones de la RSME, vol. 7, Coimbra 2004 (with H. Albuquerque, R. Caseiro, J. Clemente-Gallardo and J. Teles). 

 

 

 

·         Guest Editor

 

 

·         Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2007.

·         Proceedings of the Workshop on Geometric Aspects of Integrable Systems, Coimbra, July 17-19, 2006.

·         F. Calogero, J.-P. Françoise, J. C. Marrero, N. Manojlovic and J. Nunes da Costa, Guest Editors.

 

 

·         Preface, J. Phys. A: Mathematical  and Theoretical 41, 19 (2008)

·         Special Issue on Recent Developments in Infinite Dimensional Algebras and their Applications to Quantum Integrable System (Proceedings of  Workshop IDAQUIS 2007, Faro, 23-27 July, 2007),

·         Fring, P. Kulish, N. Manojlovic, Z. Nagy, J. Nunes da Costa and H. Samtleben, Guest Editors.