Rigidity of Hyperbolic P-manifolds: a Survey
نویسنده
چکیده
In this survey paper, we outline the proofs of the rigidity results (Mostow type, quasi-isometric, and Diagram rigidity) for simple, thick, hyperbolic P-manifolds found in [L1], [L2], [L3]. The later spaces are in some sense the simplest non-manifold locally CAT(1) spaces one can create. All the proofs depend on the highly non-homogenous structure of the boundary at infinity of the (universal covers of the) spaces in question. We emphasize the similarities and differences in the proofs of the various rigidity results.
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