Lagrangian singularities

  • V. I. Arnold
  • S. M. Gusein-Zade
  • A. N. Varchenko
Part of the Monographs in Mathematics book series (MMA, volume 82)

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

Manifold 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston, Inc. 1985

Authors and Affiliations

  • V. I. Arnold
  • S. M. Gusein-Zade
  • A. N. Varchenko

There are no affiliations available

Personalised recommendations