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ON THE VOLUMES OF CANONICAL CUSPS OF COMPLEX HYPERBOLIC MANIFOLDS

  • Kim, In-Kang ;
  • Kim, Joon-Hyung
  • Published : 2009.05.01

Abstract

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.

Keywords

complex hyperbolic manifold;canonical cusp;Heisenberg isometry

References

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  3. Balls in complex hyperbolic manifolds vol.57, pp.4, 2014, https://doi.org/10.1007/s11425-013-4765-z
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