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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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