Geometry of 1-lightlike submanifolds in anti-de Sitter n-space

DOI10.1017/S0308210512000558zbMath1296.53124OpenAlexW2331359290MaRDI QIDQ2871082

Liang Chen, Dong He Pei, Zhi-Gang Wang

Publication date: 21 January 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210512000558

zbMATH Keywords

conformal field theoryevent horizonsKerr black holes1-light-like horospherical Gauss curvaturehorospherical hypersurfaces

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (17)

Tangent developables and Darboux developables of framed curves ⋮ Singularities of worldsheets in spherical space–times ⋮ Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time ⋮ Some remarks on invariant lightlike submanifolds of indefinite Sasakian manifold ⋮ Geometric algebra of singular ruled surfaces ⋮ Gaussian surfaces and nullcone dual surfaces of null curves in a three-dimensional nullcone with index 2 ⋮ Singularities of null surfaces of null Cartan curves in three-dimensional anti-de Sitter space ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ Pseudo‐spherical evolutes of lightlike loci on mixed type surfaces in Minkowski 3‐space ⋮ Singularities of helix surfaces in Euclidean 3-space ⋮ Evolutes and focal surfaces of (1,  k)‐type curves with respect to Bishop frame in Euclidean 3‐space ⋮ Topological structures of event horizons along framed null Cartan curves in Minkowski space ⋮ Evolutes of the (n,m)-cusp mixed-type curves in the Lorentz–Minkowski plane ⋮ Singularities and dualities of pedal curves in pseudo-hyperbolic and de Sitter space ⋮ Singularity properties of Lorentzian Darboux surfaces in Lorentz-Minkowski spacetime ⋮ Lightlike tangent developables in de Sitter 3-space ⋮ Singularities of indefinite hypersurfaces and indefinite surfaces along timelike curves in nullcone with index two

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