Canonical 1-forms on higher order adapted frame bundles
Kurek, Jan ; Mikulski, Włodzimierz M.
Archivum Mathematicum, Tome 044 (2008), p. 115-118 / Harvested from Czech Digital Mathematics Library
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Let $(M,\mathcal{F})$ be a foliated $m+n$-dimensional manifold $M$ with $n$-dimensional foliation $\mathcal{F}$. Let $V$ be a finite dimensional vector space over $\mathbf{R}$. We describe all canonical (${\mathcal{F}}\mbox {\it ol}_{m,n}$-invariant) $V$-valued $1$-forms $\Theta \colon TP^r(M,{\mathcal{F}}) \rightarrow V$ on the $r$-th order adapted frame bundle $P^r(M,\mathcal{F})$ of $(M,\mathcal{F})$.

Publié le : 2008-01-01
Classification:  58A20,  58A32 
@article{116928,
     author = {Jan Kurek and W\l odzimierz M. Mikulski},
     title = {Canonical 1-forms on higher order adapted frame bundles},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {115-118},
     zbl = {1212.58002},
     mrnumber = {2432848},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116928}
}

Kurek, Jan; Mikulski, Włodzimierz M. Canonical 1-forms on higher order adapted frame bundles. Archivum Mathematicum, Tome 044 (2008) pp. 115-118. http://gdmltest.u-ga.fr/item/116928/

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