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Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces

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  • Jianguo Sun
  • Donghe Pei

Abstract

The lightlike hypersurfaces in semi‐Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces. We introduce the notions of flatness for these hypersurfaces and study their singularities.

Suggested Citation

  • Jianguo Sun & Donghe Pei, 2014. "Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:817154
    DOI: 10.1155/2014/817154
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    References listed on IDEAS

    as
    1. Zhigang Wang & Donghe Pei & Liang Chen & Lingling Kong & Qixing Han, 2012. "Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3‐Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Zhigang Wang & Donghe Pei & Liang Chen & Lingling Kong & Qixing Han, 2012. "Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, October.
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