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Anti de Sitter horospherical flat timelike surfaces |
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| Authors: | Liang Chen Shyuichi Izumiya DongHe Pei Kentaro Saji |
| Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China 2. Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan 3. Department of Mathematics, Faculty of Science, Kobe University, Rokko, 100004, Japan |
| Abstract: | We investigate a special timelike surfaces in Anti de Sitter 3-space.We call such a timelike surface an Anti de Sitter horospherical flat surface which belongs to a class of surfaces given by one parameter families of Anti de Sitter horocycle.We give a generic classification of singularities and study the geometric properties of such surfaces from the viewpoint of Legendrian singularity theory. |
| Keywords: | Anti de Sitter -space timelike surface AdS-horocycle AdS-horocyclic surface singularities |
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