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http://dx.doi.org/10.4134/JKMS.2009.46.3.513

ON THE VOLUMES OF CANONICAL CUSPS OF COMPLEX HYPERBOLIC MANIFOLDS  

Kim, In-Kang (DEPARTMENT OF MATHEMATICS SEOUL NATIONAL UNIVERSITY)
Kim, Joon-Hyung (DEPARTMENT OF MATHEMATICS SEOUL NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 513-521 More about this Journal
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;
Citations & Related Records

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