FREELY QUASICONFORMAL MAPS AND DISTANCE RATIO METRIC
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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Any covering Y ! X of a hyperbolic Riemann surface X of-nite area determines an inclusion of Teichm uller spaces Teich(X) ,! Teich(Y). We show this map is an isometry for the Teichm uller metric if the covering is amenable, and contracting otherwise. In particular , we establish jjjj < 1 for classical Poincar e series (Kra's `Theta conjecture'). The appendix develops the theory of geometric lim...
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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: Journal of the Australian Mathematical Society
سال: 2014
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788714000329