Contact manifolds, Lagrangian Grassmannians and PDEs

In this paper we review a geometric approach to PDEs. We mainly focus on scalar PDEs in n independent variables and one dependent variable of order one and two, by insisting on the underlying (2n + 1)-dimensional contact manifold and the so-called Lagrangian Grassmannian bundle over the latter. This...

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Bibliographic Details
Main Authors: Eshkobilov Olimjon, Manno Gianni, Moreno Giovanni, Sagerschnig Katja
Format: Article
Language:English
Published: De Gruyter 2018-02-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2018-0003