Research

IMG_20171202_142903

PAPERS

  1. D. Iglesias Ponte, J. C. Marrero, E. Padrón, MECHANICAL HAMILTONIAN SYSTEMS WITH RESPECT TO LINEAR POISSON STRUCTURES AND JACOBI–REEB DYNAMICS, 2022, Analysis and Mathematical Physics volume 13, Article number: 10 (2023).
  2. I. Gutiérrez-Sagredo, D. Iglesias Ponte, J. C. Marrero, E. Padrón, Z. Ravanpak, UNIMODULARITY AND INVARIANT VOLUME FORMS FOR HAMILTONIAN DYNAMICS ON POISSON-LIE GROUPS, Journal of Physics A: Mathematical and Theoretical, Volume 56, Number 1 (2023). 
  3. Sergio Grillo, Edith Padrón, JC Marrero, EXTENDED HAMILTON-JACOBI THEORY, SYMMETRIES AND INTEGRABILITY BY QUADRATURES, Mathematics, 2021, 9(12), 1357;  https://doi.org/10.3390/math9121357
  4. Sergio Grillo, Edith Padrón, EXTENDED HAMILTON-JACOBI THEORY, CONTACT MANIFOLDS AND INTEGRABILITY BY QUADRATURES. J. Math. Phys. 2020
  5. Alessandro Bravetti, Manuel de León, Juan Carlos Marrero and Edith Padrón. INVARIANT MEASURES FOR CONTACT HAMILTONIAN SYSTEMS: SYMPLECTIC SANDWICHES WITH CONTACT BREAD. Journal of Physics A: Mathematical and Theoretical, Volume 53, Number 45 455205 (2020)
  6. Sergio Grillo, Edith Padrón. EXTENDED HAMILTON-JACOBI THEORY, CONTACT MANIFOLDS AND INTEGRABILITY BY QUADRATURES. J. Math. Phys. 2020
  7. Juan Carlos Marrero, Edith Padron. ON SYMPLECTIC LIFTS OF ACTIONS FOR COMPLETE LAGRANGIAN FIBRATIONS. In: Marmo G., Martín de Diego D., Muñoz Lecanda M. (eds) Classical and Quantum Physics. Springer Proceedings in Physics,. 229, pp. 305 – 324. SpringerLink, 2018.
  8. Edith Padron, Sergio Grillo. A HAMILTON JACOBI THEORY FOR GENERAL DYNAMICAL SYSTEMS AND INTEGRABILITY BY QUADRATURES IN SYMPLECTIC AND POISSON MANIFOLDS. Journal of Geometry and Physics. 110, pp. 101 – 129. 2016.
  9. David Iglesias; Juan Carlos Marrero, David Martín de Diego, Edith Padrón. DISCRETE DYNAMICS IN IMPLICIT FORM. Discrete Continuous Dynamical Systems –serie a. 33 – 3, pp. 1117 – 1135. 2013.
  10. Juan Carlos Marrero, Edith Padrón, Miguel Rodríguez Olmos. REDUCTION OF A LIKE-SYMPLECTIC LIE ALGEBROID WITH MOMENTUM MAP AND ITS APPLICATION TO FIBERWISE LINEAR POISSON STRUCTURES. J Phys. A: Math. Theor. 45, pp. 165-201. 2012.
  11. Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón. REDUCTION OF SYMPLECTIC R-BUNDLES. J. Phys. A: Math. and Theor. 45 – 32, pp. 325202. 2012.
  12. Antonio de Nicola, Juan Carlos Marrero, Edith Padrón. REDUCTION OF POISSON-NIJENHUIS LIE ALGEBROIDS TO SYMPLECTIC-NIJENHUIS LIE ALGEBROIDS WITH A NONDEGENERATE NIJENHUIS TENSOR. J. Phys A: Math. Theoret. 44, pp. 425206 – 425241. 2011.
  13. Juan Carlos Marrero, David Martínez, Edith Padrón. UNIVERSAL MODELS VIA EMBEDDING AND REDUCTION FOR LOCALLY CONFORMAL SYMPLECTIC STRUCTURES. Ann. Global Anal. Geom. 40, pp. 311 – 337. 2011.
  14. Paula Balseiro, David Iglesias, Juan Carlos Marrero, David Martín de Diego, Edith Padrón. A UNIFIED FRAMEWORK FOR MECHANICS. HAMILTON-JACOBI EQUATION AND APPLICATIONS. Nonlinearity. 23 – 8, pp. 1887 – 1918. 2010. Nonlinearity Highlights 2010.
  15. Janusz Grabowski, David Iglesias, Juan Carlos Marrero, Edith Padrón, Pawel Urbanski. JACOBI STRUCTURES ON AFFINE BUNDLES. Acta Math. Sinica. 23, pp. 769 – 788. 2007.
  16. David Iglesias, Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez, Edith Padrón. REDUCTION OF SYMPLECTIC LIE ALGEBROIDS BY A LIE SUBALGEBROID AND A SYMMETRY LIE GROUP. Symmetry Integrability And Geometry-Methods And Applications. 4, pp. 49 – 77. 2007.
  17. David Iglesias, Juan Carlos Marrero, Edith Padrón, Diana Sosa. LAGRANGIAN SUBMANIFOLDS AND DYNAMICS ON LIE AFFGEBROIDS. REPORTS IN MATH. PHYSICS. 57 – 3, pp. 385 – 436. 2006.
  18. Janusz Grabowski, David Iglesias, Juan Carlos Marrero, Edith Padrón, Pawel Urbanski. POISSON-JACOBI REDUCTION OF HOMOGENEOUS TENSORS. J. Phys. A: Math. And Gen. 37, pp. 5383 – 5399. 2004.
  19. Manuel de León, Belén López, Juan Carlos Marrero, Edith Padrón. ON THE COMPUTATION OF LICHNEROWICZ-JACOBI COHOMOLOGY. J. Geom. Phys. 44, pp. 507 – 522. 2003.
  20. Raúl Ibáñez, Manuel de León, Belén López, Juan Carlos Marrero, Edith Padrón. DUALITY AND MODULAR CLASS OF A NAMBU-POISSON STRUCTURES. J. Phys. A: Math. Gen. 34, pp. 3623 – 3650. 2001.
  21. Raúl Ibáñez, Belén López, Juan Carlos Marrero, Edith Padrón. MATCHED PAIRS OF LEIBNIZ ALGEBROIDS, NAMBU-JACOBI STRUCTURES AND MODULAR CLASS. C.R. Acad. Sci. Paris, Serie I. 333, pp. 861 – 866. 2001.
  22. Manuel de León, Juan Carlos Marrero, Edith Padrón. ON THE GEOMETRIC PREQUANTIZATION OF BRACKETS. RACSAM. 95 – 1, pp. 65 – 83. 2001.
  23. Juan Carlos Marrero, Juan Monterde, Edith Padrón. JACOBI-NIJENHUIS MANIFOLDS AND COMPATIBLE JACOBI STRUCTURE. C. R. Acad. Sci. Paris Ser I Math. 329 – 9, pp. 797 – 802. 1999.
  24. Raúl Ibáñez, Manuel de León, Juan Carlos Marrero, Edith Padrón. LEIBNIZ ALGEBROID ASSOCIATED WITH A NAMBU-POISSON STRUCTURE. J. PHYS. A: MATH. GEN.32, pp. 8129 – 8144. 1999.
  25. Manuel de León, Juan Carlos Marrero, Edith Padrón. DUALITY AND MODULAR CLASS OF ANAMBU-POISSON STRUCTURES. MEMORIAS DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES DE MADRID. 32, pp. 131 – 150. 1998.
  26. Raúl Ibáñez, Manuel de León, Juan Carlos Marrero, Edith Padrón. NAMBU-JACOBI AND GENERALIZED JACOBI MANIFOLDS. J. Phys. A: Math. Gen. 31, pp. 1267 – 1286. 1998.
  27. Juan Carlos Marrero, Edith Padrón. NEW EXAMPLES OF COMPACT COSYMPLECTIC SOLVMANIFOLDS. Arch. Math. 34, pp. 337 – 345. 1998.
  28. Juan Carlos Marrero, Edith Padrón. COMPACT GENERALIZED HOPF AND COSYMPLECTIC SOLVMANIFOLDS AND THE HEISENBERG GROUP H(1,N). Israel J. of Math.101, pp. 189 – 204. 1997.
  29. Juan Margalef Roig, Enrique Outerelo Domínguez, Edith Padrón Fernández. CONNECTIONS ON INFINITE DIMENSIONAL MANIFOLDS WITH CORNERS. Rend. Sem. Univ. Padova. 98, pp. 21 – 55. 1997.
  30. Manuel de León, Juan Carlos Marrero, Edith Padrón. H-CHEVALLEY-EILENBERG COHOMOLOGY OF A JACOBI MANIFOLD AND JACOBI-CHERN CLASS. C. R. Acad. Sci. Paris, Serie I. 325, pp. 405 – 410. 1997.
  31. Manuel de León, Juan Carlos Marrero, Edith Padrón. LICHNEROWICZ-JACOBI COHOMOLOGY. J.Phys. A: Math. Gen. 30, pp. 6029 – 6055. 1997.
  32. Manuel de León, Juan Carlos Marrero; Edith Padrón. ON THE GEOMETRY QUANTIZATION OF JACOBI MANIFOLDS. J. Math. Phys. 38, pp. 6185 – 6213. 1997.
  33. Juan Margalef, Enrique Outerelo, EdithPadrón. PRINCIPAL BUNDLES ON INFINITE DIMENSIONAL MANIFOLDS WITH CORNERS. Acta Math. Hungar.72 – 1-2, pp. 105 – 119. 1996.
  34. Juan Margalef, Enrique Outerelo, Edith Padrón. ON INFINITE DIMENSIONAL MANIFOLDS WITH CORNERS. 25 Años de Matemáticas en La Universidad de La Laguna. Secretariado de Publicaciones de La Universidad de La Laguna. pp. 375 – 384. 1996.
  35. Sonia Armas Gómez, Juan Margalef Roig, Enrique Outerelo Domínguez, Edith Padrón Fernández. TRANSVERSALITY ON MANIFOLDS WITH CORNERS. Supplemento ai Rendiconti del Circolo Matematico di Palermo. 32, pp. 21 – 30. 1993.
  36. Edith Padrón, Enrique Outerelo, Juan Margalef, Sonia Armas.TEOREMA FUNDAMENTAL PARA VARIEDADES COCIENTES CON BORDE. Actas XIV Jornadas Hispano-Lusas de Matemáticas, Secretariado de Publicaciones de La Universidad de La Laguna. II, pp. 649 – 654. 1992.
  37. Edith Padrón, Enrique Outerelo, Juan Margalef, Sonia Armas. UN TEOREMA SOBRE INMERSIONES QUE CONSERVAN EL BORDE. Actas XV Jornadas Luso-Espanholas Matemática, Univ, Evora. III, pp. 149 – 154. 1991.
  38. Edith Padrón, Enrique Outerelo Domínguez, Juan Margalef Roig. ON SUBMERSIONS PRESERVING THE BOUNDARY AND QUOTIENT MANIFOLDS. pp. 110 – 128. World Scientific, 1990.
BOOKS

  1. Edith Padrón (Editora) y Carla Garrido (Ilustradora) UN FISQUITO DE MATEMÁTICAS, 2021 ISBN:978-84-18840-82-1
  2. Edith Padrón. EMMY NOETHER. EILA EDITORES, 2010. ISBN978-84-937524-6-0
  3. David Iglesias, Juan Carlos Marrero, Francisco Martín, Edith Padrón, Diana Sosa. XV INTERNATIONAL WORKSHOP ON GEOMETRY AND PHYSICS. PUBLICACIONES DE LA RSME. 11, 2007. ISBN 978-84-935193-1-2
  4. Juan Margalef Roig, Enrique Outerelo Domínguez, Edith Padrón Fernández. TOPOLOGÍA GENERAL. SANZY TORRES, S.L., 2000. ISBN 84-88667-54-X

PROJECTS

  • PGC2018-098265-B-C32 GEOMETRY, MECHANICS AND CLASSICAL FIELD THEORIES, IPs: Juan Carlos Marrero and David Iglesias 2019-2022.
  • RED2018-102541-T GEOMETRY, MECHANICS, AND CONTROL, IP: Juan Carlos Marrero. 2020-2021.
  • NEW APPLICATIONS OF GEOMETRIC INTEGRATION IN ENGINEERING. IP: David Martín de Diego. 2019-2021.

For information of previous project see My Complete CV