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Hokkaido University Preprint Series in Mathematics >
Pedal foliations and Gauss maps of hypersurfaces in Euclidean space
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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