Spacelike submanifolds of codimension two in anti-de Sitter space

DOI10.1080/00036811.2017.1416353zbMath1410.53024OpenAlexW2778151946WikidataQ125627378 ScholiaQ125627378MaRDI QIDQ4628962

Yongqiao Wang, Dong He Pei

Publication date: 25 March 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1416353

zbMATH Keywords

anti-de Sitter spacelight-like hypersurfaceAdS-hyperhorosphereAdS-normalized Gauss map

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Singularities of differentiable mappings in differential topology (57R45) Local submanifolds (53B25)

Cites Work

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• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• Singularities of maximal surfaces
• Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space
• On contact between submanifolds
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• Lagrangian and Legendrian singularities
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• The singularities of null surfaces in Anti de Sitter 3-space
• A conformal representation for linear Weingarten surfaces in the de Sitter space
• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• THE HOROSPHERICAL GEOMETRY OF SUBMANIFOLDS IN HYPERBOLIC SPACE
• Asymptotic Expansions of Fourier Integrals with Light Cone Singularities

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