The natural operators lifting 1-forms to some vector bundle functors

@article{J2002,
abstract = {Let F:ℳ f→ ℬ be a vector bundle functor. First we classify all natural operators $T_\{|ℳ fₙ\} ⇝ T^\{(0,0)\} (F_\{|ℳ fₙ\})*$ transforming vector fields to functions on the dual bundle functor $(F_\{|ℳ fₙ\})*$. Next, we study the natural operators $T*_\{|ℳ fₙ\} ⇝ T*(F_\{|ℳ fₙ\})*$ lifting 1-forms to $(F_\{|ℳ fₙ\})*$. As an application we classify the natural operators $T*_\{|ℳ fₙ\} ⇝ T*(F_\{|ℳ fₙ\})*$ for some well known vector bundle functors F.},
author = {J. Kurek, W. M. Mikulski},
journal = {Colloquium Mathematicae},
keywords = {bundle functor; natural operator},
language = {eng},
number = {2},
pages = {259-265},
title = {The natural operators lifting 1-forms to some vector bundle functors},
url = {http://eudml.org/doc/285350},
volume = {93},
year = {2002},
}

TY - JOUR
AU - J. Kurek
AU - W. M. Mikulski
TI - The natural operators lifting 1-forms to some vector bundle functors
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 2
SP - 259
EP - 265
AB - Let F:ℳ f→ ℬ be a vector bundle functor. First we classify all natural operators $T_{|ℳ fₙ} ⇝ T^{(0,0)} (F_{|ℳ fₙ})*$ transforming vector fields to functions on the dual bundle functor $(F_{|ℳ fₙ})*$. Next, we study the natural operators $T*_{|ℳ fₙ} ⇝ T*(F_{|ℳ fₙ})*$ lifting 1-forms to $(F_{|ℳ fₙ})*$. As an application we classify the natural operators $T*_{|ℳ fₙ} ⇝ T*(F_{|ℳ fₙ})*$ for some well known vector bundle functors F.
LA - eng
KW - bundle functor; natural operator
UR - http://eudml.org/doc/285350
ER -