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 Krak/ow, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 1-12
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 $F(M,\mathcal F)$.
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
Affiliations des auteurs :
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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title = {On infinitesimal automorphisms of foliated manifolds},
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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
