Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659834 | Topology and its Applications | 2012 | 10 Pages |
Abstract
We investigate the Gauss map of a hypersurface in Euclidean n-sphere as an application of the theory of Legendrian singularities. We can interpret the image of the Gauss map as the wavefront set of a Legendrian immersion into a certain contact manifold. We interpret the geometric meaning of the singularities of the Gauss map from this point of view.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology