On involutions of iterated bundle functors

Miroslav Doupovec; Włodzimierz M. Mikulski

Colloquium Mathematicae (2006)

  • Volume: 106, Issue: 1, page 135-145
  • ISSN: 0010-1354

Abstract

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We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with m-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.

How to cite

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Miroslav Doupovec, and Włodzimierz M. Mikulski. "On involutions of iterated bundle functors." Colloquium Mathematicae 106.1 (2006): 135-145. <http://eudml.org/doc/283609>.

@article{MiroslavDoupovec2006,
abstract = {We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with m-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.},
author = {Miroslav Doupovec, Włodzimierz M. Mikulski},
journal = {Colloquium Mathematicae},
keywords = {bundle functor; holonomic jets; higher order connection; exchange equivalence; Weil functor},
language = {eng},
number = {1},
pages = {135-145},
title = {On involutions of iterated bundle functors},
url = {http://eudml.org/doc/283609},
volume = {106},
year = {2006},
}

TY - JOUR
AU - Miroslav Doupovec
AU - Włodzimierz M. Mikulski
TI - On involutions of iterated bundle functors
JO - Colloquium Mathematicae
PY - 2006
VL - 106
IS - 1
SP - 135
EP - 145
AB - We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with m-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.
LA - eng
KW - bundle functor; holonomic jets; higher order connection; exchange equivalence; Weil functor
UR - http://eudml.org/doc/283609
ER -

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