Extremal problems for quasiconformal maps of punctured plane domains
نویسندگان
چکیده
منابع مشابه
Computing Extremal Quasiconformal Maps
Conformal maps are widely used in geometry processing applications. They are smooth, preserve angles, and are locally injective by construction. However, conformal maps do not allow for boundary positions to be prescribed. A natural extension to the space of conformal maps is the richer space of quasiconformal maps of bounded conformal distortion. Extremal quasiconformal maps, that is, maps min...
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An m-uniform domain in R n is, roughly, a domain such that any two maps from the i-sphere, 0 i m < n, into the domain can be homotoped to each other without going too far or too close to the boundary, when seen from the perspective of the images of the two maps. We establish several equivalent deenitions for m-uniform domains. We apply the theory by investigating the structure of the complement...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2001
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-01-02919-1