| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659829 | Topology and its Applications | 2012 | 8 Pages |
Abstract
We investigate a relationship between the caustics of a submanifold of general dimension and of a canal hypersurface of the submanifold in Euclidean space. As a consequence, these caustics are the same. Moreover, induced Lagrangian immersion germs are Lagrangian equivalent under a suitable condition. In order to show the results, we use the theory of Lagrangian singularity and of Legendrian singularity.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
