Geodesic
Lifting adapted connections from foliated manifolds to higher order adapted frame bundles
J. Kurek1 ; W. M. Mikulski2
1Institute of Mathematics Maria Curie-Sk/lodowska University Pl. M. Curie-Sk/lodowskiej 1 20-031 Lublin, Poland
2Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Annales Polonici Mathematici, Tome 93 (2008) no. 2, pp. 163-169
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Let $(M,\mathcal F)$ be a foliated manifold. We describe all natural operators $\mathcal A$ lifting $\mathcal F$-adapted (i.e. projectable in adapted coordinates) classical linear connections $\nabla$ on $(M,\mathcal F)$ into classical linear connections $\mathcal A(\nabla)$ on the $r$th order adapted frame bundle $P^r(M,\mathcal F)$.
DOI : 10.4064/ap93-2-4
Keywords: mathcal foliated manifold describe natural operators mathcal lifting mathcal f adapted projectable adapted coordinates classical linear connections nabla mathcal classical linear connections mathcal nabla rth order adapted frame bundle mathcal

J. Kurek  1   ; W. M. Mikulski  2

1 Institute of Mathematics Maria Curie-Sk/lodowska University Pl. M. Curie-Sk/lodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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     title = {Lifting  adapted connections from foliated manifolds 
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J. Kurek; W. M. Mikulski. Lifting  adapted connections from foliated manifolds 
to  higher order adapted frame bundles. Annales Polonici Mathematici, Tome 93 (2008) no. 2, pp. 163-169. doi: 10.4064/ap93-2-4

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