## Algebraic & Geometric Topology

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

#### 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.

#### Article information

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

Dates
Accepted: 2 February 2009
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796977

Digital Object Identifier
doi:10.2140/agt.2009.9.537

Mathematical Reviews number (MathSciNet)
MR2491584

Zentralblatt MATH identifier
1274.30157

#### Citation

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. https://projecteuclid.org/euclid.agt/1513796977

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