Natural operators lifting vector fields to bundles of Weil contact elements

Kureš, Miroslav, and Mikulski, Włodzimierz M.. "Natural operators lifting vector fields to bundles of Weil contact elements." Czechoslovak Mathematical Journal 54.4 (2004): 855-867. <http://eudml.org/doc/30905>.

@article{Kureš2004,
abstract = {Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed.},
author = {Kureš, Miroslav, Mikulski, Włodzimierz M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Weil algebra; Weil bundle; contact element; natural operator; Weil algebra; Weil bundle; contact element; natural operator},
language = {eng},
number = {4},
pages = {855-867},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Natural operators lifting vector fields to bundles of Weil contact elements},
url = {http://eudml.org/doc/30905},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Kureš, Miroslav
AU - Mikulski, Włodzimierz M.
TI - Natural operators lifting vector fields to bundles of Weil contact elements
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 855
EP - 867
AB - Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed.
LA - eng
KW - Weil algebra; Weil bundle; contact element; natural operator; Weil algebra; Weil bundle; contact element; natural operator
UR - http://eudml.org/doc/30905
ER -