Dept. Math, Hokkaido Univ. EPrints Server

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);

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
472Kb

Abstract

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.

Item Type:Preprint
Additional Information:40
Uncontrolled Keywords:Lagrangian singularities, Legedrian singularities, hypersurfafces, extrinsic differential geometry
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1068