Algebraic & Geometric Topology

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

Tarik Aougab and Peter A Storm

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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.

Article information

Algebr. Geom. Topol., Volume 9, Number 1 (2009), 537-548.

Received: 9 November 2008
Accepted: 2 February 2009
First available in Project Euclid: 20 December 2017

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Zentralblatt MATH identifier

Primary: 20F55: Reflection and Coxeter groups [See also 22E40, 51F15] 20H10: Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx] 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]

hyperbolic manifold discrete group reflection group


Aougab, Tarik; Storm, Peter A. Infinitesimal rigidity of a compact hyperbolic $4$–orbifold with totally geodesic boundary. Algebr. Geom. Topol. 9 (2009), no. 1, 537--548. doi:10.2140/agt.2009.9.537.

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