Natural operators lifting vector fields to bundles of Weil contact elements

Title:

Natural operators lifting vector fields to bundles of Weil contact elements

Creator:

Kureš, Miroslav and Mikulski, Włodzimierz M.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e0df0f8a-8f46-49cb-b6c1-d64a97751b42
uuid:e0df0f8a-8f46-49cb-b6c1-d64a97751b42

Subject:

Weil algebra, Weil bundle, contact element, and natural operator

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

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

Coverage:

855-867

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:4

Harvested from:

CDK

Metadata only:

false