Genericity of Caustics and Wavefronts on an r-corner

Tsukada, Takaharu

Asian J. Math., Tome 14 (2010) no. 1, p. 335-358 / Harvested from Project Euclid

Résumé

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.

Publié le : 2010-09-15
Classification: Caustic, wavefront, r-corner, stability, genericity, 58K25, 53Dxx

@article{1295040754,
     author = {Tsukada, Takaharu},
     title = {Genericity of Caustics and Wavefronts on an r-corner},
     journal = {Asian J. Math.},
     volume = {14},
     number = {1},
     year = {2010},
     pages = { 335-358},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1295040754}
}

Tsukada, Takaharu. Genericity of Caustics and Wavefronts on an r-corner. Asian J. Math., Tome 14 (2010) no. 1, pp.  335-358. http://gdmltest.u-ga.fr/item/1295040754/