Variational berezinian problems and their relationship with graded variational problems

  1. Daniel Hernández Ruipérez 1
  2. Jaime Muñoz Masqué 1
  1. 1 Dpto. de Matemáticas, Universidad de Salamanca
Libro:
Differential geometric methods in mathematical physics : proceedings of the 14th International Conference held in Salamanca, June 24-29, 1985

Editorial: Springer

ISBN: 3540178163,  0387178163

Año de publicación: 1987

Páginas: 137-149

Tipo: Capítulo de Libro

DOI: 10.1007/BFB0077319 GOOGLE SCHOLAR

Referencias bibliográficas

  • García, P.L.-Muñoz Masqué, J.-On the geometrical structure of higher order variational calculus. IUTAM-ISIMM Symposium on Modern Developments in Analytical Mechanics. Acad. of Sc. of Turin, 117 (1983), 127–147.
  • Hernández Ruipérez, D.-Berezinian sheaf and Poincaré duality on graded manifolds. IV Meeting in Math. Phys. Coimbra, 1984 (to appear in Travaux en cours).
  • Hernández Ruipérez, D.-Muñoz Masqué, J.-Global variational calculus on graded manifolds, I .... J. Math. Pures et Appl., 63 (1984), 283–309.
  • Hernández Ruipérez, D.-Muñoz Masqué, J.-Global variational calculus on graded manifolds, II. J. Math. Pures et Appl., 63 (1985), 87–104.
  • Hernández Ruipérez, D.-Muñoz Masqué, J.-Infinitesimal functoriality of graded Poincaré-Cartan forms. Preprints. Univ. Salamanca, о 8. To appear in Proc. XIII Int. Conf. on Geom. Diff. Meths. in Math. Phys. Shumen (Bulgaria), 1984.
  • Hernández Ruipérez, D.-Muñoz Masqué, J.-Construction intrinseque du faisceau de Berezin d'une variété graduée. C.R. Acad. Sc. Paris, t. 301, Série I, о 20, 1985, 915–918.
  • Kostant, B.-Graded manifolds, graded Lie theory and prequantization. Springer-Lecture Notes in Math., 570, 1975, 177–306.
  • Leites, D.A.-Introduction to the theory of supermanifolds, Uspekhi Mat. Nauk., 35, 1980 (Russian Math. Surveus, 35, о 1, 1980, 1–64).
  • Muñoz Masqué, J.-Formes de structure et transformations infinitésimales de contact d'ordre supérieur. C.R. Acad. Sc. Paris, t. 298, Série I, о 8, 1984.
  • Muñoz Masqué, J.-Some applications of graded variational calculus. IV Meeting in Math. Phys. Coimbra, 1984 (to appear in Travaux en cours).
  • Muñoz Masqué, J.-Poincaré-Cartan forms in higher order variational problems. Rev. Mat. Iberoamericana, Vol. 1, о 4, (1985), 85–126.