New construction of fundamental domains for certain Mostow groups

Tiehong Zhao

Vol. 259 (2012), No. 1, 209–256

DOI: 10.2140/pjm.2012.259.209

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