Algebraic & Geometric Topology Volume 9, issue 1 (2009)

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

Primary: 20F55, 20H10, 22E40

References

Publication

Received: 09 November 2008
Accepted: 02 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