Affine structures on jet and Weil bundles

• Autorzy: David Blázquez-Sanz
• Języki publikacji: EN

Abstrakty

EN

Weil algebra morphisms induce natural transformations between Weil bundles. In some well known cases, a natural transformation is endowed with a canonical structure of affine bundle. We show that this structure arises only when the Weil algebra morphism is surjective and its kernel has null square. Moreover, in some cases, this structure of affine bundle passes to jet spaces. We give a characterization of this fact in algebraic terms. This algebraic condition also determines an affine structure on the groups of automorphisms of related Weil algebras.

Kategorie tematyczne

• 58A32: Natural bundles
• 58A20: Jets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 2
• Strony: 291-305

Daty

wydano

2009

Twórcy

autor

David Blázquez-Sanz

• Escuela de Matemáticas, Universidad Sergio Arboleda, Calle 74, no. 14-14, Bogotá, Colombia

Identyfikatory

DOI

10.4064/cm114-2-10