On the algebraic structure on the jet prolongations of fibred manifolds

Ivan Kolář; Marco Modugno

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 4, page 601-611
  • ISSN: 0011-4642

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Kolář, Ivan, and Modugno, Marco. "On the algebraic structure on the jet prolongations of fibred manifolds." Czechoslovak Mathematical Journal 40.4 (1990): 601-611. <http://eudml.org/doc/13882>.

@article{Kolář1990,
author = {Kolář, Ivan, Modugno, Marco},
journal = {Czechoslovak Mathematical Journal},
keywords = {affine tower; graded affine map; admissible affine bundle; Lagrangian; Euler morphism; r-connection of tower type},
language = {eng},
number = {4},
pages = {601-611},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the algebraic structure on the jet prolongations of fibred manifolds},
url = {http://eudml.org/doc/13882},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Kolář, Ivan
AU - Modugno, Marco
TI - On the algebraic structure on the jet prolongations of fibred manifolds
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 4
SP - 601
EP - 611
LA - eng
KW - affine tower; graded affine map; admissible affine bundle; Lagrangian; Euler morphism; r-connection of tower type
UR - http://eudml.org/doc/13882
ER -

References

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  1. A. Cabras D. Canarutto M. Modugno, Structured bundles, Seminar text, Florence. 
  2. R. S. Gardner W. F. Shadwick, Equivalence of one dimensional Lagrangian field theories in the plane I, Lecture Notes in Mathematics 1156, Springer 1985. 154-179. (1985) MR0824065
  3. H. Goldschmidt, 10.4310/jdg/1214428094, J. Diff. Geom. 1 (1967) 269-307. (1967) DOI10.4310/jdg/1214428094
  4. I. Kolář, 10.1016/0393-0440(84)90007-X, J. Geometry and Physics, / (1984), 127-137. (1984) MR0794983DOI10.1016/0393-0440(84)90007-X
  5. I. Kolář M. Modugno, On the algebraic structure on the bundles of higher order velocities, Seminari Istituto di Matematica Applicata „G. Sansone", Florence, 1989. (1989) 
  6. P. Libermann, Sur les prolongements des fìbrés principaux et groupoides différentiables, Semin. Anal. Glob., Montréal, 1969, 7-108. (1969) MR0356117
  7. L. Mangìarotti M. Modugno, New Operators on Jet Spaces, Ann. Fac. Sci. Toulouse, V (1983), 171-198. (1983) MR0735661
  8. L. Mangiarotti M. Modugno, Fibered Spaces, Jet Spaces and Connections for Field Theories, , Proc. of Int. Meeting "Geometry and Physics", Florence 1982, Pitagora Editrice, Bologna 1983, 135-165. (1982) MR0760841
  9. J. Pradines, Fibrés vectoriels double symmétriques etjets holonomes d'order 2, CRAS Paris, 278 (1974), 1557-1560. (1974) MR0388433
  10. A. Trautman, Invariance of Lagrangian systems, General Relativity, Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. (1972) Zbl0273.58004MR0503424

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