Genericity of Caustics and Wavefronts on an r-corner

2009/09/29 by Takaharu Tsukada, Tsukada, Takaharu
Mathematics · #37J25 #53B50 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.DG #math.DS #msc:37J25 #msc:53B50

paper · pdf · doi:10.48550/arxiv.0909.5250

30 pages, 14 figures

arxiv created 2009/09/29 · arxiv updated 2009/12/01

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.

Related

• Genericity of Caustics on a corner
• Bifurcations of Wavefronts on an r-corner
• Bifurcations of Wavefronts on an r-corner II: Semi-local classification
• Multi-bifurcations of Wavefronts on r-corners
• First order local invariants of planar caustics