Linear liftings of skew-symmetric tensor fields to Weil bundles

Title:

Linear liftings of skew-symmetric tensor fields to Weil bundles

Creator:

Dȩbecki, Jacek

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:76ccebe9-4775-4b48-a181-330d32719993
uuid:76ccebe9-4775-4b48-a181-330d32719993

Subject:

natural operator, product preserving bundle functor, and Weil algebra

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 $T^AM$ if $1\le p\le n$. Moreover, we determine explicitly the equivariant tensors for the Weil algebras ${\mathbb D}^r_k$, where $k$ and $r$ are non-negative integers.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

809-816

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:3

Harvested from:

CDK

Metadata only:

false