Symplectic and Contact Geometry

Vladimir I. Arnold
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Vladimir I. Arnold: Steklov Mathematical Institute

Chapter 14 in Catastrophe Theory, 1992, pp 79-88 from Springer

Abstract: Abstract Many questions in singularity theory (for instance, the classification of the singularities of caustics and wave fronts, and also the investigation of the various singularities in optimization and variational calculus problems) become understandable only within the framework of the geometry of symplectic and contact manifolds, which is refreshingly unlike the usual geometries of Euclid, Lobachevskij and Riemann.

Keywords: Symplectic Manifold; Symplectic Structure; Contact Structure; Gradient Mapping; Contact Manifold (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-58124-3_14

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