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).

引用

页码：1 / 12

页数：12

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