Hokkaido Mathematical Journal

On spacelike surfaces in Anti de Sitter 3-space from the contact viewpoint

Liang CHEN

Full-text: Open access

Abstract

We study differential geometry of spacelike surfaces in Anti de Sitter 3-space from the contact viewpoint. We define the timelike Anti de Sitter Gauss images and timelike Anti de Sitter height functions on spacelike surfaces and investigate the geometric meanings of singularities of these mappings. We consider the contact of spacelike surfaces with models (so-called AdS-great-hyperboloids) as an application of Legendrian singularity theory.

Article information

Source
Hokkaido Math. J., Volume 38, Number 4 (2009), 701-720.

Dates
First available in Project Euclid: 18 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1258554241

Digital Object Identifier
doi:10.14492/hokmj/1258554241

Mathematical Reviews number (MathSciNet)
MR2561957

Zentralblatt MATH identifier
1180.53018

Subjects
Primary: 53A35: Non-Euclidean differential geometry
Secondary: 58C25: Differentiable maps

Keywords
Anti de Sitter 3-space TAdS-Gauss image AdS-G-K curvature Legendrian singularities

Citation

CHEN, Liang. On spacelike surfaces in Anti de Sitter 3-space from the contact viewpoint. Hokkaido Math. J. 38 (2009), no. 4, 701--720. doi:10.14492/hokmj/1258554241. https://projecteuclid.org/euclid.hokmj/1258554241


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