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Hokkaido University Preprint Series in Mathematics >
Lightlike developables in Minkowski 3-space
| Title: | Lightlike developables in Minkowski 3-space |
| Authors: | CHINO, Sachiko Browse this author | | IZUMIYA, Shyuichi Browse this author |
| Keywords: | Lightlike developables | | Minkowski $3$-space | | singularities |
| Issue Date: | 7-Apr-2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 781 |
| Start Page: | 1 |
| End Page: | 11 |
| Abstract: | We say that a surface in Minkowski $3$-space is a {\it lightlike developable} if any pseudo-normal vector of the regular part of the surface is lightlike. We show that such a surface is a part of a lightlike plane, the lightcone, the tangent surface of a spacelike curve in a lightlike plane, the tangent surface of a lightlike curve or the glue of such surfaces. The most interesting surfaces in such the class of surfaces is the tangent surface of a lightlike curve. We give a classification of the singularities for the tangent surface of a generic lightlike curve. As a consequence, the $H_3$ type singularity appears in generic. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69589 |
| 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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