Publication details

Classification of principal connections naturally induced on $W^2PE$

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Year of publication 2008
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords natural bundle; gauge-natural bundle; natural operator; pricipal bundle; principal connection
Description We consider a vector bundle $E\to M$ 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 $\Lambda$.
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