On decomposable Monge-Ampère equations
type: Item
instance of: scholarly article
title: On decomposable Monge-Ampère equations
zbMATH Open document ID: 0957.35010
author: Yoshinori Machida
author: Tohru Morimoto
published in: Lobachevskii Journal of Mathematics
publication date: 2000-04-09T00:00:00Z
full work available at URL: https://eudml.org/doc/232162
full work available at URL: machida.htm
review text: In this paper, the authors introduce a class of Monge-Ampère equations (defined intrinsically on a contact manifold as exterior systems and called Monge-Ampère systems [see \textit{T. Morimoto}, C. R. Acad. Sci., Paris, Sér. A 289, 25-28 (1979; Zbl 0425.35023)]) on contact manifolds of arbitrary odd dimension which they call decomposable Monge-Ampère systems. They show that one can canonically associate with a decomposable Monge-Ampère system a linear object, called characteristic system, that has nice properties, and show that most of the results that hold in the case of two independent variables, as discussed in [\textit{T. Morimoto,} Budzynski, Robert (ed.) et al., Symplectic singularities and geometry of gauge fields. Proceedings of the Banach Center symposium on differential geometry and mathematical physics in Spring 1995, Warsaw: Polish Academy of Sciences, Banach Cent. Publ. 39, 105-121 (1997; Zbl 0879.35008)], can be naturally generalized to this class of decomposable Monge-Ampère systems.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 1413893
zbMATH Keywords: decomposable Monge-Ampère system
zbMATH Keywords: exterior systems
reviewed by: Alberto Parmeggiani
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1413893