Premium
Lightcone dualities for hypersurfaces in the sphere
Author(s) -
Izumiya Shyuichi,
Jiang Yang,
Pei Donghe
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200308
Subject(s) - minkowski space , mathematics , unit sphere , spheres , unit (ring theory) , de sitter space , space (punctuation) , pure mathematics , mathematical analysis , mathematical physics , de sitter universe , physics , universe , computer science , quantum mechanics , mathematics education , astronomy , operating system
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.