Journal of Singularities
volume 12 (2015), 53-79
Received 15 April 2014. Received in revised form 29 October 2014.
This is mainly a survey article on the recent development of the theory of graph-like Legendrian unfoldings and its applications. The notion of big Legendrian submanifolds was introduced by Zakalyukin for describing the wave front propagations. Graph-like Legendrian unfoldings belong to a special class of big Legendrian submanifolds. Although this is a survey article, some new original results and the corrected proofs of some results are given.
Wave front propagations, Big wave fronts, graph-like Legendrian unfoldings, Caustics
Mathematical Subject Classification:
Primary 58K05,57R45,32S05 ; Secondary 58K25, 58K60
Department of Mathematics
Sapporo 060-0810, Japan