Some Remarks on the Visual Angle Metric

被引:0
|
作者
Parisa Hariri
Matti Vuorinen
Gendi Wang
机构
[1] University of Turku,Department of Mathematics and Statistics
[2] University of Eastern Finland,Department of Physics and Mathematics
关键词
Triangular ratio metric; Visual angle metric; Quasiconformal maps; 30C65; 51M10;
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学科分类号
摘要
We show that the visual angle metric and the triangular ratio metric are comparable in convex domains. We also find the extremal points for the visual angle metric in the half space and in the ball by use of a construction based on hyperbolic geometry. Furthermore, we study distortion properties of quasiconformal maps with respect to the triangular ratio metric and the visual angle metric.
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页码:187 / 201
页数:14
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