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Showing 1 to 3 of 3 for “"Grushin plane"”.
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Metric geometry of the Grushin plane and generalizations
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms
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Quasiconformal mappings on planar surfaces
… mappings on a generalized class of Grushin planes. We define quasisymmetries between these Grushin planes and the complex plane, and use them to find a Grushin Beltrami equation and state an analytic definition of quasisymmetry on the Grushin plane. Finally we look at a previously …
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A characterization of Bi-Lipschitz embeddable metric spaces in terms of local Bi-Lipschitz embeddability
… 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 a bi-Lipschitz embedding. Our techniques involve a passage from local to global information, building on work of …