LIGHTCONE DUALITIES FOR SUBMANIFOLDS IN THE SPHERE
HOUSTON JOURNAL OF MATHEMATICS(2019)
摘要
In this paper we consider the submanifolds in the lightcone unit sphere. The unit sphere can be canonically embedded in the lightcone and de Sitter (n+1)-space in the Lorentz-Minkowski space. We investigate these submanifolds in the framework of the theory of Legendrian dualities between pseudo-spheres in the Lorentz-Minkowski space. We compare these dualities with the classical duality of submanifolds in the Euclidean sphere.
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关键词
Lorentz-Minkowski space,lightcone duality,the unit sphere,higher codimensional submanifold,Legendrian singularity
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