Geodesic
Bundle functors with the point property which admit prolongation of connections
W. M. Mikulski1
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 97 (2010) no. 3, pp. 253-256

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $F:\mathcal M f\to\mathcal F\cal M$ be a bundle functor with the point property $F(pt)=pt$, where $pt$ is a one-point manifold. We prove that $F$ is product preserving if and only if for any $m$ and $n$ there is an $\cal F\cal M_{m,n}$-canonical construction $D$ of general connections $D({\mit\Gamma})$ on $Fp:FY\to FM$ from general connections $\mit\Gamma$ on fibred manifolds $p:Y\to M$.
DOI : 10.4064/ap97-3-4
Keywords: mathcal mathcal cal bundle functor point property where one point manifold prove product preserving only there cal cal canonical construction general connections mit gamma to general connections mit gamma fibred manifolds

W. M. Mikulski 1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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W. M. Mikulski. Bundle functors with the point property
which admit prolongation of connections. Annales Polonici Mathematici, Tome 97 (2010) no. 3, pp. 253-256. doi: 10.4064/ap97-3-4

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