Vol. 259, No. 1, 2012

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New construction of fundamental domains for certain Mostow groups

Tiehong Zhao

Vol. 259 (2012), No. 1, 209–256
Abstract

In this article, we give a new construction of fundamental polyhedra for certain Mostow groups in complex hyperbolic space. The shape of fundamental polyhedra is a natural generalization of the fundamental polyhedron for the sister of Eisenstein–Picard lattice.

Keywords
Mostow groups, Poincaré polyhedron theorem, fundamental domains
Mathematical Subject Classification 2010
Primary: 32Q45
Secondary: 51M10
Milestones
Received: 23 September 2011
Revised: 21 March 2012
Accepted: 10 April 2012
Published: 31 August 2012
Authors
Tiehong Zhao
Department of Mathematics
Hangzhou Normal University
Hangzhou, 310036
China