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Lagrangian singularities

  • V. I. Arnold
  • S. M. Gusein-Zade
  • A. N. Varchenko
Chapter
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

A caustic may be seen on a wall, illuminated by rays of light reflected from a concave surface, for example the surface of a cup. By moving the cup one can see that generic caustics have only standard singularities, while more complicated singularities decompose into standard ones under small perturbations. In this Chapter we construct a tool for studying the singularities of caustics - the theory of Lagrangian singularities.

Keywords

Poisson Bracket Symplectic Manifold Symplectic Structure Cotangent Bundle Lagrangian Submanifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • V. I. Arnold
  • S. M. Gusein-Zade
    • 1
  • A. N. Varchenko
    • 2
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Department of MathematicsThe University of North Carolina at Chapel HillChapel HillUSA

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