On the scalar components of the canonical form on higher order frame bundles

• Published in: Differencialʹnaja geometrija mnogoobrazij figur Vol. 55; no. 55(1); pp. 34 - 44
• Main Author: Kuleshov, A. V.
• Format: Journal Article
• Language: English; Russian
• Published: Immanuel Kant Baltic Federal University 2024
• Subjects: canonical form; frame bundle; jet; smooth manifold

A detailed obtaining of the expressions for the scalar components of the canonical form on higher order frame bundles over a smooth manifold has been done. The canonical form on the frame bundle of order p + 1 over an n-dimensional smooth manifold is a vector-valued differential 1-form with values i...