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Showing 1 to 2 of 2 for “"uniformly perfect"”.
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Quasiconformal Groups
… L(G) of any Schottky quasi-conformal group G is uniformly perfect. Then the concept of Schottky-type quasiconformal groups is introduced, and we generalize our results about Schottky quasiconformal groups to the new setting. We prove that if G is a discrete non-elementary quasiconformal group …
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A characterization of Bi-Lipschitz embeddable metric spaces in terms of local Bi-Lipschitz embeddability
We characterize uniformly perfect, complete, doubling metric spaces which embed bi-Lipschitzly into Euclidean space. Our result applies in particular to spaces of Grushin type equipped with Carnot-Carath ́eodory distance. Hence we obtain the first example of a sub-Riemannian manifold admitting such …