ON THE VOLUMES OF CANONICAL CUSPS OF COMPLEX HYPERBOLIC MANIFOLDS

被引：5

作者：

Kim, Inkang ^{[1
]}

Kim, Joonhyung ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 03期

关键词：

complex hyperbolic manifold; canonical cusp; Heisenberg isometry;

D O I：

10.4134/JKMS.2009.46.3.513

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：513 / 521

页数：9

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