2024-03-29T07:22:43Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/429752022-11-17T02:08:08Zhdl_2115_20039hdl_2115_116Singularities of Anti de Sitter torus Gauss mapsChen, LiangIzumiya, ShyuichiAnti de Sitter 3-spacetimelike surfaceAdS-nullcone Gauss imageAdS-torus Gauss mapLegendrian singularities417We 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 Anti de Sitter nullcone Gauss image and a Anti de Sitter torus Gauss map. We also define a family of functions named the Anti de Sitter null height function on 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.Springer Berlin / HeidelbergJournal Articleapplication/pdfhttp://hdl.handle.net/2115/42975https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/42975/1/BBMS41-1_37-61.pdf1678-7544Bulletin of the Brazilian Mathematical Society41137612010-03enginfo:doi/10.1007/s00574-010-0002-3The final publication is available at www.springerlink.comauthor