| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4623720 | Journal of Mathematical Analysis and Applications | 2006 | 9 Pages |
Abstract
The Harnack metric is a conformally invariant metric defined in quite general domains that coincides with the hyperbolic metric in the disk. We prove that the Harnack distance is never greater than the hyperbolic distance and if the two distances agree for one pair of distinct points, then either the domain is simply connected or it is conformally equivalent to the punctured disk.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
