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In this paper we consider the curves in the unit $3$-sphere. The unit $3$-sphere can be canonically embedded in the lightcone and de Sitter $4$-space in Loretnz-Minkowski $5$-space. We investigate these curves in the framework of the theory of Legendrian dualities between pseudo-spheres in Lorentz-Minkowski $5$-space.

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Dept. Math, Hokkaido Univ. EPrints Server  


Izumiya, Shyuichi -  Jiang, Yang -  Sato, Takami - 

Id.: 55213067

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras clave53 -  xx DIFFERENTIAL GEOMETRY - 

Tipo de recurso: Preprint  -  NonPeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [IsBasedOn] Preprint Series of Department of Mathematics, Hokkaido University
[References] http://eprints3.math.sci.hokudai.ac.jp/2194/

Fecha de contribución: 24-abr-2012


* Preprint Series # 1007 Izumiya, Shyuichi and Jiang, Yang and Sato, Takami Lightcone dualities for curves in the 3-sphere. (20 April 2012); (Submitted)

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