Covariant approach to natural transformations of Weil functors

Ivan Kolář

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 4, page 723-729
  • ISSN: 0010-2628

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Kolář, Ivan. "Covariant approach to natural transformations of Weil functors." Commentationes Mathematicae Universitatis Carolinae 027.4 (1986): 723-729. <http://eudml.org/doc/17497>.

@article{Kolář1986,
author = {Kolář, Ivan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Weil algebra; near point; generalized velocity; Weil functor},
language = {eng},
number = {4},
pages = {723-729},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Covariant approach to natural transformations of Weil functors},
url = {http://eudml.org/doc/17497},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Kolář, Ivan
TI - Covariant approach to natural transformations of Weil functors
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 4
SP - 723
EP - 729
LA - eng
KW - Weil algebra; near point; generalized velocity; Weil functor
UR - http://eudml.org/doc/17497
ER -

References

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  1. D. J. ECK, Product-preserving functors on smooth manifolds, Preprint, State University of New York, Buffalo. Zbl0615.57019MR0857563
  2. C. EHRESMANN, Les prolongements d'une variété différentiable. I, Calcul des jets, prolongement principal, C.R.A.S. Paris 233 (1951), 598-600. (1951) Zbl0043.17401MR0044198
  3. G. KAINZ P. MICHOR, Natural transformations in differential geometry, to appear in Czechoslovak Math. J. MR0913992
  4. M. KAWAGUCHI, Jets infinitésimaux d ordre séparé supérieur, Proc. Japan. Acad. 37 (1961), 18.-22. (1961) Zbl0171.42102MR0160167
  5. I. KOLÁŘ, Natural transformations of the second tangent functor into itself, Arch. Math. (Brno) XX (1984), 169-172. (1984) MR0784868
  6. A. MORIMOTO, Prolongations of connections to bundles of infinitely near points, J. Differential Geometry II (1976), 479-498. (1976) MR0445422
  7. Z. POGODA, [unknown], PhD thesis, Cracow, to appear. 
  8. M. STACHO, Admissible separated jets and natural transformations of some geometric functors, to appear. 
  9. A. WEIL, Théorie des points proches sur les variétés différentiables, Colloque du C.N.R.S., Strasbourg 1953, 111-117. (1953) Zbl0053.24903MR0061455

Citations in EuDML Documents

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  1. Antonella Cabras, Ivan Kolář, Prolongation of tangent valued forms to Weil bundles
  2. Ivan Kolar, An abstract characterization of the jet spaces
  3. Miroslav Doupovec, Ivan Kolář, Natural affinors on time-dependent Weil bundles
  4. Andreas Kriegl, Peter W. Michor, Product preserving functors of infinite-dimensional manifolds
  5. Jiří M. Tomáš, Non-holonomic ( r , s , q ) -jets
  6. A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol, On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles
  7. Jiří M. Tomáš, Natural T -functions on the cotangent bundle of a Weil bundle
  8. Ivan Kolář, Włodzimierz M. Mikulski, Contact elements on fibered manifolds
  9. Jiří M. Tomáš, The general rigidity result for bundles of A -covelocities and A -jets
  10. A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol, Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles

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