Weil bundles and jet spaces

J. Muñoz; Josemar Rodríguez; F. J. Muriel

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 4, page 721-748
  • ISSN: 0011-4642

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Muñoz, J., Rodríguez, Josemar, and Muriel, F. J.. "Weil bundles and jet spaces." Czechoslovak Mathematical Journal 50.4 (2000): 721-748. <http://eudml.org/doc/30597>.

@article{Muñoz2000,
author = {Muñoz, J., Rodríguez, Josemar, Muriel, F. J.},
journal = {Czechoslovak Mathematical Journal},
keywords = {jet near point contact element Weil bundle fundamental identification; near point; contact element; Weil bundle; fundamental identification; jet; near point; contact element; Weil bundle; fundamental identification},
language = {eng},
number = {4},
pages = {721-748},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weil bundles and jet spaces},
url = {http://eudml.org/doc/30597},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Muñoz, J.
AU - Rodríguez, Josemar
AU - Muriel, F. J.
TI - Weil bundles and jet spaces
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 721
EP - 748
LA - eng
KW - jet near point contact element Weil bundle fundamental identification; near point; contact element; Weil bundle; fundamental identification; jet; near point; contact element; Weil bundle; fundamental identification
UR - http://eudml.org/doc/30597
ER -

References

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  1. D-modules, contact valued calculus and Poincaré-Cartan form. Submitted for publication, . 
  2. Les prolongements d’une varieté différentiable. I: Calcul del jets, prolongement principal; II: L’espace des jets d’ordre r de V n dans V m , C. R. Acad. Sci. Paris 233 (1951), 598–600, 777–779. (1951) 
  3. 10.4310/jdg/1214428094, J. Differential Geom. 1 (1967), 269–307. (1967) MR0226156DOI10.4310/jdg/1214428094
  4. 10.1016/S0393-0440(97)00012-0, J. Geom. Phys 24 (1998), 244–264. (1998) MR1491556DOI10.1016/S0393-0440(97)00012-0
  5. Lie Algebras, John Wiley & Sons, Inc., New York, 1962. (1962) Zbl0121.27504MR0143793
  6. An infinite dimensional motivation in higher order geometry, Proc. Conf. Aug. 28–Sep. 1 1995, Brno, Czech Republic, 1996, pp. 151–159. (1996) MR1406335
  7. Natural Operations in Differential Geometry, Springer-Verlag, New York, 1993. (1993) MR1202431
  8. Lectures on Involutive Systems, Publicações Soc. Math., São Paulo, 1969. (1969) 
  9. Theorie der Transformationsgruppen, Chelsea Publishing, New York, 1970. (1970) Zbl0248.22009
  10. 10.4310/jdg/1214433720, J. Differential Geom. 11 (1976), 479–498. (1976) Zbl0358.53013MR0445422DOI10.4310/jdg/1214433720
  11. Integrability of lie equations and pseudogroups, (to appear). (to appear) MR1797843
  12. 10.1070/RM1993v048n02ABEH001013, Russian Math. Surveys 48 (1993), 75–104. (1993) Zbl0804.53041MR1239861DOI10.1070/RM1993v048n02ABEH001013
  13. Théorie des points proches sur les variétés différentiables, Colloque de Géometrie Différentielle, C.N.R.S. (1953), 111–117. (1953) Zbl0053.24903MR0061455

Citations in EuDML Documents

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  1. Ricardo J. Alonso, Jet manifold associated to a Weil bundle
  2. J. Muñoz, F. J. Muriel, Josemar Rodríguez, The contact system on the ( m , ℓ ) -jet spaces
  3. R. J. Alonso-Blanco, J. Muñoz-Díaz, The contact system for A -jet manifolds
  4. Miroslav Kureš, Włodzimierz M. Mikulski, Natural operators lifting vector fields to bundles of Weil contact elements
  5. Ivan Kolář, Włodzimierz M. Mikulski, Contact elements on fibered manifolds
  6. Jiří M. Tomáš, The general rigidity result for bundles of A -covelocities and A -jets

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