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
相关论文
共 50 条
  • [1] Description of jet like functors on vector bundles by means of module bundle functors on the bases
    Doupovec, Miroslav
    Kurek, Jan
    Mikulski, Wlodzimierz M.
    FILOMAT, 2024, 38 (01) : 241 - 260
  • [2] Description of jet like functors on double vector bundles by means of admissible systems
    Włodzimierz M. Mikulski
    European Journal of Mathematics, 2022, 8 : 346 - 366
  • [3] Description of jet like functors on double vector bundles by means of admissible systems
    Mikulski, Wlodzimierz M.
    EUROPEAN JOURNAL OF MATHEMATICS, 2022, 8 (SUPPL 1) : 346 - 366
  • [4] On Poincaré bundles of vector bundles on curves
    H. Lange
    P.E. Newstead
    manuscripta mathematica, 2005, 117 : 173 - 181
  • [5] On homogeneous vector bundles
    Biswas, Indranil
    Subramanian, S.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2008, 132 (05): : 419 - 424
  • [6] On principal connection like bundles
    Włodzimierz M. Mikulski
    Czechoslovak Mathematical Journal, 2014, 64 : 961 - 967
  • [7] On principal connection like bundles
    Mikulski, Wlodzimierz M.
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (04) : 961 - 967
  • [8] On Weil like functors on flag vector bundles with given length
    Doupovec, Miroslav
    Kurek, Jan
    Mikulski, Wlodzimierz M.
    FILOMAT, 2023, 37 (09) : 2755 - 2771
  • [9] Weil bundles and jet spaces
    Muñoz, J
    Rodriguez, J
    Muriel, FJ
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2000, 50 (04) : 721 - 748
  • [10] Weil bundles and jet spaces
    J. Muñoz
    J. Rodriguez
    F. J. Muriel
    Czechoslovak Mathematical Journal, 2000, 50 : 721 - 748
12345