Some remarks on contact manifolds, Monge-Ampere equations and solution singularities
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🧮 math.AP
math.DG
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contactequationsmonge-amperesomegeometrysingularitiesaspectsclassical
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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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