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

Aougab, Tarik; Storm, Peter A

doi:10.2140/agt.2009.9.537

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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

DOI: 10.2140/agt.2009.9.537

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

References

Publication

Received: 9 November 2008

Accepted: 2 February 2009

Published: 20 March 2009

Authors

Tarik Aougab
Department of Mathematics University of Pennsylvania David Rittenhouse Lab 209 South 33rd Street Philadephia, PA 19104-6395 USA

Peter A Storm
Department of Mathematics University of Pennsylvania David Rittenhouse Lab 209 South 33rd Street Philadephia PA, 19104-6395 USA
http://www.sas.upenn.edu/~pstorm/index.html

Volume 9, issue 1 (2009)