|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Singularities of Developable Surfaces
| Title: | Singularities of Developable Surfaces |
| Authors: | Ishikawa, G. Browse this author |
| Keywords: | tangent developable | | projective duality | | Legendre singularity | | determinacy | | non-isolated singularity | | topological triviality. |
| Issue Date: | 1-Feb-1999 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 448 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | In this survey article we explain the recent results on the singularities appearing in the tangent developables of space curves via the projective duality. First we examine, from our viewpoint, the classical local classification and Hartman-Nirenberg's theorem on developable surfaces. Then we show results on the local differentiable and topological classification of tangent developables of space curves. Lastly we present some related problems and questions, for instance, questions on the finite determinacy. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69198 |
| 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
|
