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- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Springer
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Mathematics, general
- ISSN
- 1678-7544
- eISSN
- 1678-7714
- DOI
- 10.1007/s00574-010-0002-3
- Publisher site
- See Article on Publisher Site
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 Anti de Sitter nullcone Gauss image and Anti de Sitter torus Gauss map. We also define a family of functions named 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.
Journal
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Mar 30, 2010