Singularities of Anti de Sitter torus Gauss maps
type: Item
instance of: scholarly article
title: Singularities of Anti de Sitter torus Gauss maps
zbMATH Open document ID: 1193.53016
author: Liang Chen
author: Shyuichi Izumiya
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2010-05-03T00:00:00Z
full work available at URL: http://hdl.handle.net/2115/42975
review text: The authors study the time-like surfaces in anti de Sitter (adS) 3-spacetime, by analogy with similar researches for Minkowski and de Sitter cases. The main idea is to use techniques from singularity theory and find properties of submanifold geometry from the analysis of the singularities of specific contact functions. The basic ingredients the authors define and rely on are: the adS-nullcone Gauss image, the adS-torus Gauss map, the adS-null Gauss-Kronecker curvature, the adS-torus Gauss-Kronecker curvature, the adS-null height function, the adS-torus cylindrical pedal and the adS-null Monge form. Using these notions, several results are proven, including a generic classification of the singularities of adS-nullcone Gauss image and of the adS-torus Gauss map.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53A35
Mathematics Subject Classification ID: 58C25
Mathematics Subject Classification ID: 53B30
zbMATH DE Number: 5703332
zbMATH Keywords: singularity
zbMATH Keywords: anti de Sitter 3-space-time
zbMATH Keywords: time-like surface
zbMATH Keywords: null cone Gauss image
zbMATH Keywords: Gauss map
zbMATH Keywords: Legendrian singularity
MaRDI profile type: Publication
OpenAlex ID: W2006100610
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DOI: 10.1007/S00574-010-0002-3
description: scientific article; zbMATH DE number 5703332