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Lightcone dualities for hypersurfaces in the sphere

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Publication:2929428
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DOI10.1002/mana.201200308zbMath1307.53011OpenAlexW1931546052MaRDI QIDQ2929428

Yang Jiang, Shyuichi Izumiya, Dong He Pei

Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200308


zbMATH Keywords

Minkowski spacesingularityLegendrian dualitylightcone duality


Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)




Cites Work

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  • The Gauss map of a hypersurface in Euclidean sphere and the spherical Legendrian duality
  • Hypersurfaces in lightlike cone
  • On contact between submanifolds
  • Stability of caustics
  • Lagrangian and Legendrian singularities
  • Sphere stratifications and the Gauss map
  • DUALITY AND ORTHOGONAL PROJECTIONS OF CURVES AND SURFACES IN EUCLIDEAN 3-SPACE
  • SINGULARITIES OF HYPERBOLIC GAUSS MAPS
  • LIGHTCONE DUALITIES FOR CURVES IN THE SPHERE
  • Lightcone dualities for curves in the lightcone unit 3-sphere


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