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

页码：243 / 255

页数：13

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