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Showing 1 to 3 of 3 for “"the Grushin plane"”.

  1. Metric geometry of the Grushin plane and generalizations

    … an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms

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  2. Quasiconformal mappings on planar surfaces

    This thesis discusses three different projects concerning quasiconformal mappings on planar surfaces. In the first two projects we show that a priori weaker conditions still suffice to prove quasiconformality. The geometric definition states that an orientation-preserving homeomorphism f:U → f(U) …

    uiuc Repository record for Quasiconformal mappings on planar surfaces (opens in a new tab)

  3. 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 …

    uiuc Repository record for A characterization of Bi-Lipschitz embeddable metric spaces in terms of local Bi-Lipschitz embeddability (opens in a new tab)