Weakly maximal submodules of some S(V)-modules. Geometric applications
type: Item
instance of: scholarly article
title: Weakly maximal submodules of some S(V)-modules. Geometric applications
zbMATH Open document ID: 0726.58051
DOI: 10.1016/0019-3577(90)90004-7
published in: Indagationes Mathematicae. New Series
publication date: 1990-01-01T00:00:00Z
review text: A k-th order system \(\Phi\) of partial differential equations on a fibered manifold is called weakly minimal, if for any k-th order system \(\Psi\) with \(\Phi\subset \Psi\) either \(\Psi\) is of finite type or the set of all integral \((k+p+1)-\)jets of \(\Psi\) is open in the set of all integral \((k+p+1)-\)jets of \(\Phi\) over any integral \((k+p)-\)jet of \(\Psi\). The author first studies the algebraic models for transitive systems of partial differential equations which are weakly minimal. Then the results are applied to some types of higher order G-structures and to certain foliations.
Mathematics Subject Classification ID: 58J60
Mathematics Subject Classification ID: 35N10
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 4199110
zbMATH Keywords: weakly minimal systems of partial differential equations
zbMATH Keywords: higher order G- structures
zbMATH Keywords: foliations
author: Michel Nguiffo Boyom
MaRDI profile type: Publication
full work available at URL: 0019-3577(90)90004-7
OpenAlex ID: W2032720410
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reviewed by: Ivan Kolář
description: scientific article; zbMATH DE number 4199110