Volume 9, issue 1 (2009)

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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
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