On special types of nonholonomic 3 -jets

Ivan Kolář

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 5, page 339-351
  • ISSN: 0044-8753

Abstract

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We deduce a classification of all special types of nonholonomic 3 -jets. In the introductory part, we summarize the basic properties of nonholonomic r -jets.

How to cite

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Kolář, Ivan. "On special types of nonholonomic $3$-jets." Archivum Mathematicum 048.5 (2012): 339-351. <http://eudml.org/doc/251423>.

@article{Kolář2012,
abstract = {We deduce a classification of all special types of nonholonomic $3$-jets. In the introductory part, we summarize the basic properties of nonholonomic $r$-jets.},
author = {Kolář, Ivan},
journal = {Archivum Mathematicum},
keywords = {nonholonomic $r$-jets; nonholonomic $3$-jet category; Weil algebra; nonholonomic -jet; nonholonomic 3-jet category; Weil algebra},
language = {eng},
number = {5},
pages = {339-351},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On special types of nonholonomic $3$-jets},
url = {http://eudml.org/doc/251423},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Kolář, Ivan
TI - On special types of nonholonomic $3$-jets
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 5
SP - 339
EP - 351
AB - We deduce a classification of all special types of nonholonomic $3$-jets. In the introductory part, we summarize the basic properties of nonholonomic $r$-jets.
LA - eng
KW - nonholonomic $r$-jets; nonholonomic $3$-jet category; Weil algebra; nonholonomic -jet; nonholonomic 3-jet category; Weil algebra
UR - http://eudml.org/doc/251423
ER -

References

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  1. Doupovec, M., 10.1007/s10587-005-0074-1, Czechoslovak Math. J. 55 (2005), 901–916. (2005) Zbl1081.58001MR2184371DOI10.1007/s10587-005-0074-1
  2. Ehresmann, C., Oeuvres complètes et commentés, Parties I–1 et I–2, Cahiers Topol. Géom. Diff. (Suppl. 1 et 2) 24 (1983). (1983) MR0794193
  3. Kolář, I., On special types of semiholonomic 3 –jets, to appear in Czechoslovak Math. J. 
  4. Kolář, I., Bundle functors of the jet type, Differential Geom. and Applications (Brno, 1998), 231–237, Masaryk Univ. Brno, 1999. (1999) Zbl0951.58003MR1708910
  5. Kolář, I., A general point of view to nonholonomic jet bundles, Cahiers Topol. Géom. Diff. Catégoriques 44 (2) (2003), 149–160. (2003) Zbl1048.58002MR1985835
  6. Kolář, I., Weil Bundles as Generalized Jet Spaces, Handbook of Global Analysis, Elsevier, Amsterdam, 2008, pp. 625–665. (2008) Zbl1236.58010MR2389643
  7. Kolář, I., 10.1016/j.difgeo.2011.03.007, Differential Geom. Appl. 29 (2011), 135–140. (2011) Zbl1229.58005MR2831821DOI10.1016/j.difgeo.2011.03.007
  8. Kolář, I., Michor, P. W., Slovák, J., Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993) MR1202431
  9. Kolář, I., Mikulski, W. M., 10.1016/S0926-2245(99)00022-4, Differential Geom. Appl. 11 (1999), 105–115. (1999) MR1712139DOI10.1016/S0926-2245(99)00022-4
  10. Kolář, I., Vosmanská, G., Natural operations with second order jets, Rend. Circ. Mat. Palermo (2) Suppl. 21 (1989), 179–186. (1989) MR0920854
  11. Libermann, P., Introduction to the theory of semi-holonomic jets, Arch. Math. (Brno) 33 (1997), 173–189. (1997) MR1478771
  12. Virsik, G., Total connections in Lie groupoids, Arch. Math. (Brno) 31 (1995), 183–200. (1995) Zbl0841.53024MR1368257

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