Some remarks on contact manifolds, Monge-Ampere equations and solution singularities

Alexandre Vinogradov

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arXiv · 1403.1742

Some remarks on contact manifolds, Monge-Ampere equations and solution singularities

Alexandre Vinogradov

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Abstract

We describe some natural relations connecting contact geometry, classical Monge-Ampere equations and theory of singularities of solutions to nonlinear PDEs. They reveal the hidden meaning of Monge-Ampere equations and sheds new light on some aspects of contact geometry.

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Alexandre Vinogradov. 2014-03-07. Some remarks on contact manifolds, Monge-Ampere equations and solution singularities. https://arxiv.org/abs/1403.1742

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