Lightcone dualities for hypersurfaces in the sphere

MATHEMATISCHE NACHRICHTEN（2014）

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摘要

In this paper, we consider hypersurfaces in the unit lightlike sphere. The unit sphere can be canonically embedded in the lightcone and de Sitter space in Minkowski space. We investigate these hypersurfaces in the framework of the theory of Legendrian dualities between pseudo-spheres in Minkowski space. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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关键词

Minkowski space,lightcone duality,the unit sphere,singularity,contact

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