Asian Journal of Mathematics
- Asian J. Math.
- Volume 14, Number 3 (2010), 335-358.
Genericity of Caustics and Wavefronts on an r-corner
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.
Asian J. Math., Volume 14, Number 3 (2010), 335-358.
First available in Project Euclid: 14 January 2011
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Tsukada, Takaharu. Genericity of Caustics and Wavefronts on an r-corner. Asian J. Math. 14 (2010), no. 3, 335--358. https://projecteuclid.org/euclid.ajm/1295040754