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.
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© 1992 Springer-Verlag Berlin Heidelberg
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Arnold, V.I. (1992). Symplectic and Contact Geometry. In: Catastrophe Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58124-3_14
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DOI: https://doi.org/10.1007/978-3-642-58124-3_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54811-9
Online ISBN: 978-3-642-58124-3
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