Classification of principal connections naturally induced on

Jan Vondra

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 5, page 535-547
  • ISSN: 0044-8753

Abstract

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We consider a vector bundle and the principal bundle of frames of . Let be a principal connection on and let be a linear connection on . We classify all principal connections on naturally given by and .

How to cite

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Vondra, Jan. "Classification of principal connections naturally induced on $W^2PE$." Archivum Mathematicum 044.5 (2008): 535-547. <http://eudml.org/doc/250508>.

@article{Vondra2008,
abstract = {We consider a vector bundle $E\rightarrow M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a principal connection on $PE$ and let $\Lambda $ be a linear connection on $M$. We classify all principal connections on $W^2PE= P^2M\times _M J^2PE$ naturally given by $K$ and $\Lambda $.},
author = {Vondra, Jan},
journal = {Archivum Mathematicum},
keywords = {natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection; natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection},
language = {eng},
number = {5},
pages = {535-547},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Classification of principal connections naturally induced on $W^2PE$},
url = {http://eudml.org/doc/250508},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Vondra, Jan
TI - Classification of principal connections naturally induced on $W^2PE$
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 5
SP - 535
EP - 547
AB - We consider a vector bundle $E\rightarrow M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a principal connection on $PE$ and let $\Lambda $ be a linear connection on $M$. We classify all principal connections on $W^2PE= P^2M\times _M J^2PE$ naturally given by $K$ and $\Lambda $.
LA - eng
KW - natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection; natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection
UR - http://eudml.org/doc/250508
ER -

References

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