• Discreteness Criteria based on a Test Map in $PU(n, 1)$

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      https://www.ias.ac.in/article/fulltext/pmsc/122/04/0519-0524

    • Keywords

       

      Test map; discreteness criterion; non-elementary group.

    • Abstract

       

      The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, the discreteness criteria of a 𝑛-dimensional subgroup 𝐺 of $SU(n,1)$ are investigated by using a test map which may not be in 𝐺.

    • Author Affiliations

       

      Huani Qin1 2 Yueping Jiang1

      1. College of Applied Mathematics, Hunan University, Changsha 410082, China
      2. College of Mathematics and Computation Science, Wuyi University, Jiangmen 529020, China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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