Non-existence of natural operators transforming connections on Y M into connections on F Y Y

Włodzimierz M. Mikulski

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 1, page 1-4
  • ISSN: 0044-8753

Abstract

top
Under some weak assumptions on a bundle functor F : F M m , n F M we prove that there is no F M m , n -natural operator transforming connections on Y M into connections on F Y Y .

How to cite

top

Mikulski, Włodzimierz M.. "Non-existence of natural operators transforming connections on $Y \rightarrow M$ into connections on $FY\rightarrow Y$." Archivum Mathematicum 041.1 (2005): 1-4. <http://eudml.org/doc/249493>.

@article{Mikulski2005,
abstract = {Under some weak assumptions on a bundle functor $F:FM_\{m,n\}\rightarrow FM$ we prove that there is no $FM_\{m,n\}$-natural operator transforming connections on $Y\rightarrow M$ into connections on $FY\rightarrow Y$.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {bundle functors; natural bundles; natural operators; connections; bundle functors; natural bundles; natural operators},
language = {eng},
number = {1},
pages = {1-4},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Non-existence of natural operators transforming connections on $Y \rightarrow M$ into connections on $FY\rightarrow Y$},
url = {http://eudml.org/doc/249493},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Non-existence of natural operators transforming connections on $Y \rightarrow M$ into connections on $FY\rightarrow Y$
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 1
EP - 4
AB - Under some weak assumptions on a bundle functor $F:FM_{m,n}\rightarrow FM$ we prove that there is no $FM_{m,n}$-natural operator transforming connections on $Y\rightarrow M$ into connections on $FY\rightarrow Y$.
LA - eng
KW - bundle functors; natural bundles; natural operators; connections; bundle functors; natural bundles; natural operators
UR - http://eudml.org/doc/249493
ER -

References

top
  1. Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993. MR1202431

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.