A Cartan connection associated with a system of third order partial differential equations
type: Item
instance of: scholarly article
title: A Cartan connection associated with a system of third order partial differential equations
zbMATH Open document ID: 0854.53025
author: Vita I. Glizburg
published in: Russian Mathematics
publication date: 1996-05-12T00:00:00Z
review text: Let \(S^k_m(V_n)\) be the bundle of \(m\)-dimensional contact elements of order \(k\) on a manifold \(V_n\). Using the canonical forms of the third order frame bundle of \(V_n\), the author deduces that every section \(S^2_n(V_n) \to S^3_{n - 1} (V_n)\) determines a principal fiber bundle and a Cartan connection on the latter bundle.
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 857511
zbMATH Keywords: bundle of contact elements
zbMATH Keywords: third order frame bundle
zbMATH Keywords: Cartan connection
MaRDI profile type: Publication
reviewed by: Ivan Kolář
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description: scientific article; zbMATH DE number 857511