Lipschitz and Bi-Lipschitz maps from PI spaces to Carnot groups
نویسندگان
چکیده
منابع مشابه
lipschitz groups and lipschitz maps
this contribution mainly focuses on some aspects of lipschitz groups, i.e., metrizable groups with lipschitz multiplication and inversion map. in the main result it is proved that metric groups, with a translation-invariant metric, may be characterized as particular group objects in the category of metric spaces and lipschitz maps. moreover, up to an adjustment of the metric, a...
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It is shown that every bundle ! M of complex spinor modules over the Cliiord bundle Cl(g) of a Riemannian space (M; g) with local model (V; h) is associated with an lpin (\Lipschitz") structure on M, this being a reduction of the O(h)-bundle of all orthonormal frames on M to the Lips-chitz group Lpin(h) of all automorphisms of a suitably deened spin space. An explicit construction is given of t...
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Let X, Y be complete metric spaces and E, F be Banach spaces. A bijective linear operator from a space of E-valued functions on X to a space of F -valued functions on Y is said to be biseparating if f and g are disjoint if and only if Tf and Tg are disjoint. We introduce the class of generalized Lipschitz spaces, which includes as special cases the classes of Lipschitz, little Lipschitz and uni...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2020
ISSN: 0022-2518
DOI: 10.1512/iumj.2020.69.8009