Singularities of dual hypersurfaces of spacelike hypersurfaces in lightcone and Legendrian duality


Authors

Meiling He - School of Mathematical Sciences, Harbin Normal University, Harbin, 150500, P. R. China. Yang Jiang - College of Maths and Systematic Science, Shenyang Normal University, Shenyang, 110034, P. R. China. Zhigang Wang - School of Mathematical Sciences, Harbin Normal University, Harbin, 150500, P. R. China.


Abstract

The theory of the Legendrian singularity is applied for lightcones that are canonically embedded in the higher-dimensional lightcone and de Sitter space in the Minkowski space-time. The singularities of two classes of hypersurfaces that are dual to space-like hypersurface in the lightcone under Legendrian dualities are analyzed in detail.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Meiling He, Yang Jiang, Zhigang Wang, Singularities of dual hypersurfaces of spacelike hypersurfaces in lightcone and Legendrian duality, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5471--5487

AMA Style

He Meiling, Jiang Yang, Wang Zhigang, Singularities of dual hypersurfaces of spacelike hypersurfaces in lightcone and Legendrian duality. J. Nonlinear Sci. Appl. (2016); 9(9):5471--5487

Chicago/Turabian Style

He, Meiling, Jiang, Yang, Wang, Zhigang. "Singularities of dual hypersurfaces of spacelike hypersurfaces in lightcone and Legendrian duality." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5471--5487


Keywords


MSC


References