Asian Journal of Mathematics

Genericity of Caustics and Wavefronts on an r-corner

Takaharu Tsukada

Full-text: Open access

Abstract

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.

Article information

Source
Asian J. Math., Volume 14, Number 3 (2010), 335-358.

Dates
First available in Project Euclid: 14 January 2011

Permanent link to this document
https://projecteuclid.org/euclid.ajm/1295040754

Mathematical Reviews number (MathSciNet)
MR2755721

Zentralblatt MATH identifier
1215.58019

Subjects
Primary: 58K25: Stability 53Dxx: Symplectic geometry, contact geometry [See also 37Jxx, 70Gxx, 70Hxx]

Keywords
Caustic wavefront r-corner stability genericity

Citation

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


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