Journal of Singularities
volume 6 (2012), 84-97
Proceedings of the Workshop on Singularities in Geometry and Applications, Będlewo, 5 – 21 May 2011
Received: 14 December 2011. Received in revised form: 1 March 2012.
The singular point of the Gauss map of a hypersurface in Euclidean space is the parabolic point where the Gauss-Kronecker curvature vanishes. It is well-known that the contact of a hypersurface with the tangent hyperplane at a parabolic point is degenerate. The parabolic point has been investigated in the previous research by applying the theory of Lagrangian or Legendrian singularities. In this paper we give a new interpretation of the singularity of the Gauss map from the view point of the theory of wave front propagations.
Pedal foliations, Gauss map, Lagrangian singularity, Legendrian singularity
Mathematical Subject Classification:
|Shyuichi Izumiya||Masatomo Takahashi|
|Department of Mathematics||Muroran Institute of Technology|
|Hokkaido University||Muroran 050-8585, Japan|
|Sapporo 060-0810, Japan|
|email: firstname.lastname@example.org||email: email@example.com|