Geodesic
On infinitesimal automorphisms of foliated manifolds
Jan Kurek1 ; W/lodzimierz M. Mikulski2
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 Krak/ow, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 1-12.

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

Let $F:\mathcal Fol\to\mathcal F\cal M$ be a product preserving bundle functor on the category $\mathcal Fol$ of foliated manifolds $(M,\mathcal F)$ without singularities and leaf respecting maps. We describe all natural operators $C$ transforming infinitesimal automorphisms $X\in \cal X(M,\mathcal F)$ of foliated manifolds $(M,\mathcal F)$ into vector fields $C(X)\in \cal X(F(M,\mathcal F))$ on $F(M,\mathcal F)$.
DOI : 10.4064/ap92-1-1
Keywords: mathcal fol mathcal cal product preserving bundle functor category mathcal fol foliated manifolds mathcal without singularities leaf respecting maps describe natural operators transforming infinitesimal automorphisms cal mathcal foliated manifolds mathcal vector fields cal mathcal mathcal

Jan Kurek 1 ; W/lodzimierz 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 Krak/ow, Poland 
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Jan Kurek; W/lodzimierz M. Mikulski. On infinitesimal automorphisms of foliated manifolds. Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 1-12. doi : 10.4064/ap92-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ap92-1-1/

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