Natural transformations of Weil functors into bundle functors

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1990), p. [177]-191 / Harvested from

Résumé

[For the entire collection see Zbl 0699.00032.] Natural transformations of the Weil functor $T^{A}$ of A-velocities [I. Kolař, Commentat. Math. Univ. Carol. 27, 723-729 (1986; Zbl 0603.58001)] into an arbitrary bundle functor F are characterized. In the case where F is a linear bundle functor, the author deduces that the dimension of the vector space of all natural transformations of $T^{A}$ into F is finite and is less than or equal to $dim (F_{0} ℛ^{k})$ . The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined.

MR MR1061799 | Zbl 0715.57013

EUDML-ID : urn:eudml:doc:221789
Mots clés:

@article{701471,
     title = {Natural transformations of Weil functors into bundle functors},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1990},
     pages = {[177]-191},
     mrnumber = {MR1061799},
     zbl = {0715.57013},
     url = {http://dml.mathdoc.fr/item/701471}
}

Mikulski, Włodzimierz M. Natural transformations of Weil functors into bundle functors, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1990), pp. [177]-191. http://gdmltest.u-ga.fr/item/701471/