Genericity of Caustics on a corner

Takaharu Tsukada

Journal of Singularities
volume 7 (2013), 275-291

Received: 17 February 2012. Received in revised form: 24 November 2013.

DOI: 10.5427/jsing.2013.7o

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We introduce the notions of caustic-equivalence and weak caustic-equivalence relations of reticular Lagrangian maps in order to give a generic classification of "shapes" 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 under these equivalence relations.

Author(s) information:

Takaharu Tsukada
College of Humanities and Sciences
Department of Mathematics
Nihon University
Higashijujo 3-1-16 Kita-ku
Tokyo 114-0001 JAPAN