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Singularities of Anti de Sitter Torus Gauss maps

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84056

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
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

Submitter: 数学紀要登録作業用

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