The Theory of Caustics and Wavefront Singularities with Physical Applications

Details The Theory of Caustics and Wavefront Singularities with Physical Applications The Theory of Caustics and Wavefront Singularities with Physical Applications

1999-06-16

arxiv.org/abs/gr-qc/9906065v1

J.Math.Phys. 41 (2000) 3344-3378

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Figs. not included

Scientific paper

This is intended as an introduction to and review of the work of V, Arnold
and his collaborators on the theory of Lagrangian and Legendrian submanifolds
and their associated maps. The theory is illustrated by applications to
Hamilton-Jacobi theory and the eikonal equation, with an emphasis on null
surfaces and wavefronts and their associated caustics and singularities.

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