Lightcone dualities for curves in the lightcone unit 3-sphere

DOI10.1063/1.4811451zbMath1284.53022OpenAlexW2007144017MaRDI QIDQ5402324

Yang Jiang, Shyuichi Izumiya, Takami Sato

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/53140

zbMATH Keywords

Legendrian dualitiespseudo-spheresde Sitter 4-space

Mathematics Subject Classification ID

Special relativity (83A05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Lightcone dualities for hypersurfaces in the sphere ⋮ Singularities of dual hypersurfaces and hyperbolic focal surfaces along spacelike curves in light cone in Minkowski 5-space ⋮ Topological structures of event horizons along framed null Cartan curves in Minkowski space ⋮ Enveloids and involutoids of spherical Legendre curves

Cites Work

• The Gauss map of a hypersurface in Euclidean sphere and the spherical Legendrian duality
• Hypersurfaces in lightlike cone
• A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space
• Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials
• Sphere stratifications and the Gauss map
• DUALITY AND ORTHOGONAL PROJECTIONS OF CURVES AND SURFACES IN EUCLIDEAN 3-SPACE
• LIGHTCONE DUALITIES FOR CURVES IN THE SPHERE
• Asymptotic Expansions of Fourier Integrals with Light Cone Singularities
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