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math.GT2009★ 4 cited
Local rigidity of hyperbolic manifolds with geodesic boundary
Steven P. Kerckhoff, Peter A. Storm
Let W be a compact hyperbolic n-manifold with totally geodesic boundary. We prove that if n>3 then the holonomy representation of pi_1 (W) into the isometry group of hyperbolic n-s…
math.GT2008★ 11 cited
From the hyperbolic 24-cell to the cuboctahedron
Steven P. Kerckhoff, Peter A. Storm
We describe a family of 4-dimensional hyperbolic orbifolds, constructed by deforming an infinite volume orbifold obtained from the ideal, hyperbolic 24-cell by removing two walls.…