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

来源：

Computational Methods and Function Theory | 2016年 / 16卷

关键词：

Triangular ratio metric; Visual angle metric; Quasiconformal maps; 30C65; 51M10;

D O I：

暂无

中图分类号：

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.

引用

页码：187 / 201

页数：14

共 50 条

[1] Some Remarks on the Visual Angle Metric
Hariri, Parisa
Vuorinen, Matti
Wang, Gendi
[J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2016, 16 (02) : 187 - 201
[2] SOME REMARKS ON THURSTON METRIC AND HYPERBOLIC METRIC
Sun, Zongliang
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (02) : 399 - 410
[3] Some remarks on the Cassinian metric
Hariri, Parisa
Klen, Riku
Vuorinen, Matti
Zhang, Xiaohui
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (3-4): : 269 - 285
[4] Some remarks on metric and deformation
Federico, Salvatore
[J]. MATHEMATICS AND MECHANICS OF SOLIDS, 2015, 20 (05) : 522 - 539
[5] SOME REMARKS ON METRIC AND WEYL CONNECTIONS
HALL, GS
HADDOW, BM
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (10) : 5938 - 5948
[6] Some Remarks on Partial Metric Spaces
Lu, Hanchuan
Zhang, Heng
He, Wei
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (04) : 3065 - 3081
[7] Some Remarks on Partial Metric Spaces
Hanchuan Lu
Heng Zhang
Wei He
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 3065 - 3081
[8] The Visual Angle Metric and Mobius Transformations
Klen, Riku
Linden, Henri
Vuorinen, Matti
Wang, Gendi
[J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2014, 14 (2-3) : 577 - 608
[9] THE VISUAL ANGLE METRIC AND QUASIREGULAR MAPS
Wang, Gendi
Vuorinen, Matti
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (11) : 4899 - 4912
[10] Some remarks on expansive mappings in metric spaces
Popescu, Ovidiu
Pacurar, Cristina Maria
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (03) : 717 - 725

← 1 2 3 4 5 →