Jet involution and prolongations of connections

Marco Modugno

Časopis pro pěstování matematiky (1989)

  • Volume: 114, Issue: 4, page 356-365
  • ISSN: 0528-2195

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Modugno, Marco. "Jet involution and prolongations of connections." Časopis pro pěstování matematiky 114.4 (1989): 356-365. <http://eudml.org/doc/21756>.

@article{Modugno1989,
author = {Modugno, Marco},
journal = {Časopis pro pěstování matematiky},
keywords = {jet involution; anholonomic jet prolongations; prolongations of connections},
language = {eng},
number = {4},
pages = {356-365},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Jet involution and prolongations of connections},
url = {http://eudml.org/doc/21756},
volume = {114},
year = {1989},
}

TY - JOUR
AU - Modugno, Marco
TI - Jet involution and prolongations of connections
JO - Časopis pro pěstování matematiky
PY - 1989
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 114
IS - 4
SP - 356
EP - 365
LA - eng
KW - jet involution; anholonomic jet prolongations; prolongations of connections
UR - http://eudml.org/doc/21756
ER -

References

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  1. C. Ehresmann, Les connexions infinitésimales dans un espace fibre différentiable, Coll. Topologie (Bruxelles, 1950), Liège 1951, 29-55. (1950) MR0042768
  2. M. Ferraris M. Francaviglia, The theory of formal connections and fibred connections in fibred manifolds, In: Differential geometry, L. A. Cordero editor, Pittman, 1985, 297-317. (1985) MR0864878
  3. A. Frölicher A. Nijenhuis, Theory of vector valued differential forms. Part I. Derivations in the graded ring of differential forms, Indag. Math. 18 (1956), 338-385. (1956) MR0082554
  4. J. Grifone, Structure presque tangente et connexions, I, Ann. Inst. Fourier, 22, 1 (1972), 287-334. (1972) Zbl0219.53032MR0336636
  5. I. Kolář, Higher order torsion of spaces with Cartan connections, Cahiers de Topologie et Géometrie Differentielle, 12, 2 (1981), 29-34. (1981) MR0315619
  6. I. Kolář, Connections in 2-fibred manifolds, Arch. Math. (Brno), XVII, 1981, 23-30. (1981) MR0672485
  7. P. Libermann, Sur les prolongements des fibrés principaux et grupoides différentiables, Sem. Anal. Glob, Montreal, 1969, 7-108. (1969) MR0356117
  8. P. Libermann, Parallelismes, J. Diff. Geom., 8 (1973), 511 - 539. (1973) Zbl0284.53023MR0353189
  9. L. Mangiarotti M. Modugno, New operators on jet spaces, Ann. Fac. Scie. Toulouse, 5 (1983), 171-198. (1983) MR0735661
  10. L. Mangiarotti M. Modugno, Fibered spaces, jet spaces and connections for field theories, Proceedings of International Meeting "Geometry and Physics", Florence, 1982, Pitagora Editrice, Bologna, 1983, 135-165. (1982) MR0760841
  11. L. Mangiarotti M. Modugno, Graded Lie algebras and connections on a fibred space, J. Math. Pur. et Appl. 63 (1984), 111- 120. (1984) MR0776913
  12. M. Modugno, An introduction to systems of connections, Seminario Instituto di Matematica Applicata "G. Sansone", 1986, 1 - 63. (1986) 
  13. K. Yano S. Ishihara, Tangent and cotangent bundles, M. Dekker, New York, 1973. (1973) MR0350650
  14. C. Gunther, The polysymplectic Hamiltonian formalism in field theory and calculus of variations, preprint, 1986, 1-57. (1986) MR1023179

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