1. Natural operators lifting vector fields to bundles of Weil contact elements
- Creator:
- Kureš, Miroslav and Mikulski, Włodzimierz M.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- Weil algebra, Weil bundle, contact element, and natural operator
- Language:
- English
- Description:
- Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields from $m$-manifolds to the bundle functor $K^A$ of Weil contact elements and the subalgebra of fixed elements $SA$ of the Weil algebra $A$ is determined and the bijection between all natural affinors on $K^A$ and $SA$ is deduced. Furthermore, the rigidity of the functor $K^A$ is proved. Requisite results about the structure of $SA$ are obtained by a purely algebraic approach, namely the existence of nontrivial $SA$ is discussed.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public