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@article{816912, author = {Vondra, Jan}, article_location = {Brno}, article_number = {5}, keywords = {natural bundle; gauge-natural bundle; natural operator; pricipal bundle; principal connection}, language = {eng}, issn = {0044-8753}, journal = {Archivum Mathematicum}, title = {Classification of principal connections naturally induced on $W^2PE$}, volume = {44}, year = {2008} }
TY - JOUR ID - 816912 AU - Vondra, Jan PY - 2008 TI - Classification of principal connections naturally induced on $W^2PE$ JF - Archivum Mathematicum VL - 44 IS - 5 SP - 535-547 EP - 535-547 PB - Masaryk University SN - 00448753 KW - natural bundle KW - gauge-natural bundle KW - natural operator KW - pricipal bundle KW - principal connection N2 - 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 $\Lambda$. ER -
VONDRA, Jan. Classification of principal connections naturally induced on \${}W\^{}2PE\${}. \textit{Archivum Mathematicum}. Brno: Masaryk University, 2008, roč.~44, č.~5, s.~535-547. ISSN~0044-8753.
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