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Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space
| Title: | Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space |
| Authors: | Sato, Takami Browse this author |
| Keywords: | Curves on a spacelike surface | | Pseudo-spherical evolute | | Lorentz-Minkowski space |
| Issue Date: | 9-Mar-2012 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1000 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | In this paper we introduce the notion of pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space which is analogous to the notion of evolutes of curves on the hyperbolic plane. We investigate the the singularities and geometric properties of pseudo-spherical evolutes of curves on a spacelike surface. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69805 |
| 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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