Torsions of connections on higher order cotangent bundles

被引：1

作者：

Doupovec, M

Kurek, J

机构：

[1] FSI VUT, Dept Math, Brno 61669, Czech Republic

[2] Marie Curie Sklodowska Univ, Inst Math, PL-20031 Lublin, Poland

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2003年 / 53卷 / 04期

关键词：

affinor; general connection; torsion;

D O I：

10.1023/B:CMAJ.0000024533.75199.eb

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By a torsion of a general connection Gamma on a fibered manifold Y --> M we understand the Frolicher-Nijenhuis bracket of Gamma and some canonical tangent valued oneform (affinor) on Y. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.

引用

页码：949 / 962

页数：14

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