On infinitesimal automorphisms of foliated manifolds

Jan Kurek, and Włodzimierz M. Mikulski. "On infinitesimal automorphisms of foliated manifolds." Annales Polonici Mathematici 92.1 (2007): 1-12. <http://eudml.org/doc/280836>.

@article{JanKurek2007,
abstract = {Let F:ℱol → ℱℳ be a product preserving bundle functor on the category ℱol of foliated manifolds (M,ℱ) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X ∈ 𝒳(M,ℱ) of foliated manifolds (M,ℱ) into vector fields C(X)∈ 𝒳(F(M,ℱ)) on F(M,ℱ).},
author = {Jan Kurek, Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {foliated manifolds; (product preserving) bundle functors; natural operators; vector fields; infinitesimal automorphisms of foliated manifolds},
language = {eng},
number = {1},
pages = {1-12},
title = {On infinitesimal automorphisms of foliated manifolds},
url = {http://eudml.org/doc/280836},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Jan Kurek
AU - Włodzimierz M. Mikulski
TI - On infinitesimal automorphisms of foliated manifolds
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 1
SP - 1
EP - 12
AB - Let F:ℱol → ℱℳ be a product preserving bundle functor on the category ℱol of foliated manifolds (M,ℱ) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X ∈ 𝒳(M,ℱ) of foliated manifolds (M,ℱ) into vector fields C(X)∈ 𝒳(F(M,ℱ)) on F(M,ℱ).
LA - eng
KW - foliated manifolds; (product preserving) bundle functors; natural operators; vector fields; infinitesimal automorphisms of foliated manifolds
UR - http://eudml.org/doc/280836
ER -