An Upper Bound For Hausdorff Distance Between Finite-Dimensional Hyperbolic Space and Its Medianization
Abstract
We use de Sitter space to construct a concrete model for the measured wall structure of finite-dimensional hyperbolic space in hyperbolic model In, which will induce a medianization M(In). We get an upper bound for the Hausdorff distance between In and M(In). Especially the Hausdorff distance for In case is calculated.
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