Journal of Singularities
volume 7 (2013), 275-291
Received: 17 February 2012. Received in revised form: 24 November 2013.
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.
|College of Humanities and Sciences|
|Department of Mathematics|
|Higashijujo 3-1-16 Kita-ku|
|Tokyo 114-0001 JAPAN|