Linear liftings of skew-symmetric tensor fields to Weil bundles

被引：4

作者：

Debecki, J ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2005年 / 55卷 / 03期

关键词：

natural operator; product preserving bundle functor; Weil algebra;

D O I：

10.1007/s10587-005-0067-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define equivariant tensors for every non-negative integer p and every Weil algebra A and establish a one-to-one correspondence between the equivariant tensors and linear natural operators lifting skew-symmetric tensor fields of type (p, 0) on an n-dimensional ;manifold M to tensor fields of type (p, 0) on (TM)-M-A if 1 <= p <= n. Moreover, we determine explicitly the equivariant tensors for the Weil algebras D-k(T), where k and r are non-negative integers.

引用

页码：809 / 816

页数：8

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