Abstract:For any 2 nd order scalar PDE E in one unknown function, that we interpret as a hypersurface of a secondorder jet space J 2 , we construct, by means of the characteristics of E, a sub-bundle of the contact distribution of the underlying contact manifold J 1 , consisting of conic varieties. We call it the contact cone structure associated with E. We then focus on symplectic Monge-Ampère equations in 3 independent variables, that are naturally parametrized by a 13-dimensional real projective space. If we pass to… Show more
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