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
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
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页码:809 / 816
页数:8
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