Genericity of Caustics on a corner

Details Genericity of Caustics on a corner Genericity of Caustics on a corner

2010-10-31

arxiv.org/abs/1011.0209v2

Mathematics

Differential Geometry

20 pages, 24 figures

Scientific paper

We introduce the notions of the caustic-equivalence and the weak
caustic-equivalence relations of reticular Lagrangian maps in order to give a
generic classification of caustics on a corner. We give the figures of all
generic caustics on a corner in a smooth manifold of dimension 2 and 3.

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