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Anti de Sitter horospherical flat timelike surfaces

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Abstract

We investigate a special timelike surfaces in Anti de Sitter 3-space. We call such a timelike surface an Anti de Sitter horospherical flat surface which belongs to a class of surfaces given by one parameter families of Anti de Sitter horocycle. We give a generic classification of singularities and study the geometric properties of such surfaces from the viewpoint of Legendrian singularity theory.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China

    Liang Chen & DongHe Pei

  2. Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan

    Shyuichi Izumiya

  3. Department of Mathematics, Faculty of Science, Kobe University, Rokko, 100004, Japan

    Kentaro Saji

Authors
  1. Liang Chen
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  2. Shyuichi Izumiya
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  3. DongHe Pei
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  4. Kentaro Saji
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Corresponding author

Correspondence to DongHe Pei.

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Chen, L., Izumiya, S., Pei, D. et al. Anti de Sitter horospherical flat timelike surfaces. Sci. China Math. 57, 1841–1866 (2014). https://doi.org/10.1007/s11425-014-4870-7

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  • DOI: https://doi.org/10.1007/s11425-014-4870-7

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