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Infinitesimal rigidity of a compact hyperbolic
4–orbifold with totally geodesic boundary
Tarik Aougab and Peter A Storm
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Algebraic & Geometric Topology 9
(2009) 537–548
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Abstract
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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.
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Keywords
hyperbolic manifold, discrete group,
reflection group
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Mathematical Subject Classification
Primary: 20F55, 20H10, 22E40
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Publication
Received: 09 November 2008
Accepted: 02 February 2009
Published: 20 March 2009
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