Geodesic
Infinitesimal rigidity of a compact hyperbolic 4–orbifold with totally geodesic boundary
Aougab, Tarik1 ; Storm, Peter A2
1Department of Mathematics, University of Pennsylvania, David Rittenhouse Lab, 209 South 33rd Street, Philadephia, PA 19104-6395, USA
2Department of Mathematics, University of Pennsylvania, David Rittenhouse Lab, 209 South 33rd Street, Philadephia PA, 19104-6395, USA
Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 537-548
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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.

DOI : 10.2140/agt.2009.9.537
Keywords: hyperbolic manifold, discrete group, reflection group

Aougab, Tarik  1   ; Storm, Peter A  2

1 Department of Mathematics, University of Pennsylvania, David Rittenhouse Lab, 209 South 33rd Street, Philadephia, PA 19104-6395, USA
2 Department of Mathematics, University of Pennsylvania, David Rittenhouse Lab, 209 South 33rd Street, Philadephia PA, 19104-6395, USA 
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Aougab, Tarik; Storm, Peter A. Infinitesimal rigidity of a compact hyperbolic 4–orbifold with totally geodesic boundary. Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 537-548. doi: 10.2140/agt.2009.9.537

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