Differential Geometry from the viewpoint of Lagrangian or Legendrian singularity theory
Preprint Series # 747
Izumiya, Shyuichi Differential Geometry from the viewpoint of Lagrangian or Legendrian singularity theory. (2005);
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces in
Euclidean space from the view point
of Lagrangian or Legendrian singularity theory.
Many results in this paper have been already obtained in
some articles. However, we can discover some new information of geometric properties
of hypersurfaces from this point of view.
|Uncontrolled Keywords:||Lagrangian singularities, Legedrian singularities,
hypersurfafces, extrinsic differential geometry|
|Subjects:||53-xx DIFFERENTIAL GEOMETRY|