Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2012; 49(2): 343-356

Printed March 1, 2012

https://doi.org/10.4134/JKMS.2012.49.2.343

Copyright © The Korean Mathematical Society.

On the canonical cusps in complex hyperbolic surfaces

Joonhyung Kim

Konkuk University

Abstract

In this paper, we consider the canonical cusps in complex hyperbolic surfaces. We will classify canonical cusps in complex hyperbolic surfaces and find correspondence between them and $3$-dimensional nilpotent groups. This paper is a sequel of our paper [6].

Keywords: complex hyperbolic manifold, canonical cusp, Heisenberg group, Heisenberg infranilmanifold

MSC numbers: Primary 22E40, 32Q45, 51M10, 57S30