Natural transformations of Weil functors into bundle functors

Mikulski, Włodzimierz M.

  • Proceedings of the Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [177]-191

Abstract

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[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.

How to cite

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Mikulski, Włodzimierz M.. "Natural transformations of Weil functors into bundle functors." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1990. [177]-191. <http://eudml.org/doc/221789>.

@inProceedings{Mikulski1990,
abstract = {[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 $\dim (F_0\{\mathcal \{R\}\}^k)$. The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined.},
author = {Mikulski, Włodzimierz M.},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia)},
location = {Palermo},
pages = {[177]-191},
publisher = {Circolo Matematico di Palermo},
title = {Natural transformations of Weil functors into bundle functors},
url = {http://eudml.org/doc/221789},
year = {1990},
}

TY - CLSWK
AU - Mikulski, Włodzimierz M.
TI - Natural transformations of Weil functors into bundle functors
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1990
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [177]
EP - 191
AB - [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 $\dim (F_0{\mathcal {R}}^k)$. The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined.
KW - Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia)
UR - http://eudml.org/doc/221789
ER -

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