1. Linear liftings of skew-symmetric tensor fields to Weil bundles
- Creator:
- Dȩbecki, Jacek
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- natural operator, product preserving bundle functor, and Weil algebra
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public