On infinitesimal automorphisms of foliated manifolds

被引：0
|
作者：
Kurek, Jan [1 ]
Mikulski, Wlodzimierz M. [2 ]
机构：
[1] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland
[2] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland
来源：
ANNALES POLONICI MATHEMATICI | 2007年 / 92卷 / 01期
关键词：
foliated manifolds; (product preserving) bundle functors; natural operators; vector fields; infinitesimal automorphisms of foliated manifolds;
D O I：
10.4064/ap92-1-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 is an element of X(M, F) of foliated manifolds (M, F) into vector fields C(X) is an element of X(F(M, F)) on F(M, F).
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页码：1 / 12
页数：12
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