Non-existence of some natural operators on connections

W. M. Mikulski. "Non-existence of some natural operators on connections." Annales Polonici Mathematici 81.2 (2003): 157-166. <http://eudml.org/doc/280843>.

@article{W2003,
abstract = {Let n,r,k be natural numbers such that n ≥ k+1. Non-existence of natural operators $C^r₀⟿ Q(reg T^r_k → K^r_k)$ and $C^r₀ ⟿ Q(reg T^\{r*\}_k → K^\{r*\}_k)$ over n-manifolds is proved. Some generalizations are obtained.},
author = {W. M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {bundle functor; natural operator; jet; connection; Ehresmann’s contact -elements; duals; rigid geometric objects},
language = {eng},
number = {2},
pages = {157-166},
title = {Non-existence of some natural operators on connections},
url = {http://eudml.org/doc/280843},
volume = {81},
year = {2003},
}

TY - JOUR
AU - W. M. Mikulski
TI - Non-existence of some natural operators on connections
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 2
SP - 157
EP - 166
AB - Let n,r,k be natural numbers such that n ≥ k+1. Non-existence of natural operators $C^r₀⟿ Q(reg T^r_k → K^r_k)$ and $C^r₀ ⟿ Q(reg T^{r*}_k → K^{r*}_k)$ over n-manifolds is proved. Some generalizations are obtained.
LA - eng
KW - bundle functor; natural operator; jet; connection; Ehresmann’s contact -elements; duals; rigid geometric objects
UR - http://eudml.org/doc/280843
ER -