The Theory of Caustics and Wave Front Singularities with Physical Applications

Ehlers, Jürgen; Newman, Ezra T.

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The Theory of Caustics and Wave Front Singularities with Physical Applications

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Ehlers, Jürgen
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Ehlers, J., & Newman, E. T. (2000). The Theory of Caustics and Wave Front Singularities with Physical Applications. Journal of Mathematical Physics, 41, 3344-3378.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-57BC-0

Abstract

This is intended as an introduction to and review of the theory of Lagrangian and Legendrian submanifolds and their associated maps developed by Arnold and his collaborators. The theory is illustrated by applications to HamiltonJacobi theory and the eikonal equation, with an emphasis on null surfaces and wave fronts and their associated caustics and singularities.