• 제목/요약/키워드: Heisenberg isometry

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ON THE VOLUMES OF CANONICAL CUSPS OF COMPLEX HYPERBOLIC MANIFOLDS

  • Kim, In-Kang;Kim, Joon-Hyung
    • 대한수학회지
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    • 제46권3호
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    • pp.513-521
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    • 2009
  • We first introduce a complex hyperbolic space and a complex hyperbolic manifold. After defining the canonical horoball and the canonical cusp on the complex hyperbolic manifold, we estimate the volumes of canonical cusps of complex hyperbolic manifolds. Finally, we deal with cusped, complex hyperbolic 2-manifolds, and in particular, the ones with only one cusp.