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

共 50 条

[31] Holonomy groups of stable vector bundles
Balaji, V.
Kollar, Janos
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2008, 44 (02) : 183 - 211
[32] Stable vector bundles on the families of curves
Bogomolov, Fedor A.
Lukzen, Elena
EUROPEAN JOURNAL OF MATHEMATICS, 2022, 8 (02) : 540 - 550
[33] Vanishing theorems for ample vector bundles
Laurent Manivel
Inventiones mathematicae, 1997, 127 : 401 - 416
[34] Grothendieck-Lefschetz for vector bundles
Cesnavicius, Kestutis
ALGEBRAIC GEOMETRY, 2020, 7 (04): : 503 - 511
[35] STRATIFICATION OF THE MODULI SPACE OF VECTOR BUNDLES
Bigas, Montserrat teixidor i
PACIFIC JOURNAL OF MATHEMATICS, 2024, 332 (02)
[36] DYNAMIC POLYSYSTEMS AND VECTOR-BUNDLES
LEVITT, N
TOPOLOGY AND ITS APPLICATIONS, 1992, 45 (01) : 49 - 58
[37] VECTOR BUNDLES AND MONADS ON ABELIAN THREEFOLDS
Gulbrandsen, Martin G.
COMMUNICATIONS IN ALGEBRA, 2013, 41 (05) : 1964 - 1988
[38] Heat kernel expansions in vector bundles
Ndumu, Martin N.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E445 - E473
[39] Vector bundles on rational homogeneous spaces
Rong Du
Xinyi Fang
Yun Gao
Annali di Matematica Pura ed Applicata (1923 -), 2021, 200 : 2797 - 2827
[40] Vector bundles on log terminal varieties
Mella, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (08) : 2199 - 2204

← 1 2 3 4 5 →