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

How to cite

top

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

top
  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

top
  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. Miroslav Kureš, Włodzimierz M. Mikulski, Natural operators lifting vector fields to bundles of Weil contact elements
  4. R. J. Alonso-Blanco, J. Muñoz-Díaz, The contact system for A -jet manifolds
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.