CONFORMALLY INVARIANT METRICS ON RIEMANN SURFACES
نویسندگان
چکیده
منابع مشابه
A Tale of Two Conformally Invariant Metrics
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.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1959
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.45.11.1629