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The classification of Lagrangian and Legendrian singularities

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

Abstract

The theory of generating families reduces the study of Lagrangian and Legendrian singularities to the study of singularities of families of functions and hypersurfaces. The tools developed in the preceding parts for studying the singularities of functions therefore give valuable information about caustics and fronts. In the pages which follow we give the results that have been obtained in this direction.

Keywords

Lagrangian Manifold Simple Singularity Lagrangian Case Miniversal Deformation Lagrangian Bundle 
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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