Volume 9, issue 1 (2009)

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Infinitesimal rigidity of a compact hyperbolic $4$–orbifold with totally geodesic boundary

Tarik Aougab and Peter A Storm

Algebraic & Geometric Topology 9 (2009) 537–548
Abstract

Kerckhoff and Storm conjectured that compact hyperbolic $n$–orbifolds with totally geodesic boundary are infinitesimally rigid when $n>3$. We verify this conjecture for a specific example based on the $4$–dimensional hyperbolic $120$–cell.

Keywords
hyperbolic manifold, discrete group, reflection group
Mathematical Subject Classification 2000
Primary: 20F55, 20H10, 22E40