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Hokkaido University Preprint Series in Mathematics >
Singularities of Anti de Sitter Torus Gauss maps
| Title: | Singularities of Anti de Sitter Torus Gauss maps |
| Authors: | Chen, Liang Browse this author | | Izumiya, Shyuichi Browse this author |
| Keywords: | Anti de Sitter 3-space | | timelike surface | | AdS-nullcone Gauss image | | AdS-torus Gauss map | | Legendrian singularities |
| Issue Date: | 11-Apr-2008 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 906 |
| Start Page: | 1 |
| End Page: | 19 |
| Abstract: | We study timelike surfaces in Anti de Sitter 3-space as an application of singularity theory. We define two mappings associated to a timelike surface which are called a {¥it Anti de Sitter nullcone Gauss image} and a {¥it Anti de Sitter torus Gauss map.} We also define a family of functions named the {¥it Anti de Sitter null height function} of the timelike surface. We use this family of functions as a basic tool to investigate the geometric meanings of singularities of the Anti de Sitter nullcone Gauss image and the Anti de Sitter torus Gauss map. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69714 |
| 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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