HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Pedal foliations and Gauss maps of hypersurfaces in Euclidean space

Files in This Item:
pre1001.pdf233.98 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/84147

Title: Pedal foliations and Gauss maps of hypersurfaces in Euclidean space
Authors: Izumiya, Shyuichi Browse this author
Takahashi, Masatomo Browse this author
Keywords: Pedal foliations
Gauss map
Lagrangian singularity
Legendrian singularity
Issue Date: 10-Mar-2012
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1001
Start Page: 1
End Page: 16
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69806
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University