Canonical 1-forms on higher order adapted frame bundles

Kurek, Jan, and Mikulski, Włodzimierz M.. "Canonical 1-forms on higher order adapted frame bundles." Archivum Mathematicum 044.2 (2008): 115-118. <http://eudml.org/doc/250286>.

@article{Kurek2008,
abstract = {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 $(M,\mathcal \{F\})$.},
author = {Kurek, Jan, Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {foliated manifold; infinitesimal automorphism; higher order adapted frame bundle; canonical $1$-form; foliated manifold; infinitesimal automorphism; higher order adapted frame bundle, canonical 1-form},
language = {eng},
number = {2},
pages = {115-118},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Canonical 1-forms on higher order adapted frame bundles},
url = {http://eudml.org/doc/250286},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Kurek, Jan
AU - Mikulski, Włodzimierz M.
TI - Canonical 1-forms on higher order adapted frame bundles
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 2
SP - 115
EP - 118
AB - 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 $(M,\mathcal {F})$.
LA - eng
KW - foliated manifold; infinitesimal automorphism; higher order adapted frame bundle; canonical $1$-form; foliated manifold; infinitesimal automorphism; higher order adapted frame bundle, canonical 1-form
UR - http://eudml.org/doc/250286
ER -