Anti de Sitter horospherical flat timelike surfaces

作者:Chen Liang; Izumiya, Shyuichi; Pei DongHe*; Saji, Kentaro
来源:Science China Mathematics, 2014, 57(9): 1841-1866.
DOI:10.1007/s11425-014-4870-7

摘要

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.