LIPSCHITZ CONDITIONS, TRIANGULAR RATIO METRIC, AND QUASICONFORMAL MAPPINGS

作者：Chen, Jiaolong^*; Hariri, Parisa; Klen, Riku; Vuorinen, Matti

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2015, 40(2): 683-709.

DOI：10.5186/aasfm.2015.4039

• Quasiconformal maps
• quasiregular maps
• conformal invariance
• distortion theorem

The triangular ratio metric is studied in subdomains of the complex plane and Euclidean n-space. Various inequalities are proven for this metric. The main results deal with the behavior of this metric under quasiconformal maps. We also study the smoothness of metric disks with small radii.

• 出版日期2015
• 单位湖南师范大学