On “special” fibred coordinates for general and classical connections
Annales Polonici Mathematici, Tome 99 (2010) no. 1, pp. 99-105
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Using a general connection $\mit\Gamma$ on a fibred manifold $p:Y\to M$
and a torsion free classical linear connection $\nabla$ on $M$, we distinguish some
“special” fibred coordinate systems on $Y$, and then we
construct a general connection
$ \widetilde{\mathcal{F}}({\mit\Gamma},\nabla)$ on
$Fp:FY\rightarrow FM$ for
any vector bundle functor
$F: \mathcal{M}f\rightarrow\mathcal{V}\mathcal{B}$ of finite order.
Keywords:
using general connection mit gamma fibred manifold torsion classical linear connection nabla distinguish special fibred coordinate systems construct general connection widetilde mathcal mit gamma nabla rightarrow vector bundle functor mathcal rightarrow mathcal mathcal finite order
Affiliations des auteurs :
Włodzimierz M. Mikulski 1
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author = {W{\l}odzimierz M. Mikulski},
title = {On {\textquotedblleft}special{\textquotedblright} fibred coordinates for general and classical connections},
journal = {Annales Polonici Mathematici},
pages = {99--105},
publisher = {mathdoc},
volume = {99},
number = {1},
year = {2010},
doi = {10.4064/ap99-1-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap99-1-9/}
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TY - JOUR AU - Włodzimierz M. Mikulski TI - On “special” fibred coordinates for general and classical connections JO - Annales Polonici Mathematici PY - 2010 SP - 99 EP - 105 VL - 99 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap99-1-9/ DO - 10.4064/ap99-1-9 LA - en ID - 10_4064_ap99_1_9 ER -
Włodzimierz M. Mikulski. On “special” fibred coordinates for general and classical connections. Annales Polonici Mathematici, Tome 99 (2010) no. 1, pp. 99-105. doi: 10.4064/ap99-1-9
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