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Integrable geometries and Monge-Ampere equations

2006/12/18 by Bertrand Banos, Banos, Bertrand
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0612514

arxiv created 2006/12/18 · arxiv updated 2009/12/01

Abstract

In this lecture delivered at the Integrable and Quantum Field Theory at Peyresq sixth meeting, we review the Lychagin's Monge-Ampere operators theory and exhibit the link it establishes between the classical problem of local equivalence for non linear partial differential equations and the problem of integrability of some geometrical structures.

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