Asian Journal of Mathematics
Volume 14 (2010)
Genericity of Caustics and Wavefronts on an r-corner
Pages: 335 – 358
We investigate genericities of reticular Lagrangian maps and reticular Legendrian maps in order to give generic classifications of caustics and wavefronts generated by a hypersurface germ without or with a boundary in a smooth manifold. We also give simpler proofs of main results in T. Tsukada, "Reticular Lagrangian Singularities," Asian J. Math., 1 (1997), pp. 572-622 and T. Tsukada, "Reticular Legendrian Singularities," Asian J. Math., 5:1 (2001), pp. 109-127.
Caustic; wavefront; r-corner; stability; genericity
2010 Mathematics Subject Classification