ON JET LIKE BUNDLES OF VECTOR BUNDLES

被引：0
|
作者：
Doupovec, Miroslav [1 ]
Kurek, Jan [2 ]
Mikulski, Wlodzimierz M. [3 ]
机构：
[1] Brno Univ Technol, Inst Math, Tech 2, Brno 61669, Czech Republic
[2] Marie Curie Sklodowska Univ, Inst Math, Pl Marii Curie Sklodowskiej 1, Lublin, Poland
[3] Jagiellonian Univ, Inst Math, Lojasiewicza 6, Krakow, Poland
来源：
MATEMATICKI VESNIK | 2021年 / 73卷 / 04期
关键词：
Bundle functor; gauge bundle functor; natural transformation; (gauge) natural operator; vector bundle; module bundle; jet;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe completely the so called jet like functors of a vector bundle E over an m-dimensional manifold M, i.e. bundles FE over M canonically depending on E such that F(E-1 x(M) E-2) = FE1 x(M) FE2 for any vector bundles E-l and E-2 over M. Then we study how a linear vector field on E can induce canonically a vector field on FE.
引用
收藏
页码：243 / 255
页数：13
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