Toshiyuki SUGAWA

Unified approach to conformally invariant metrics on Riemann surfaces


In this article, we will survey the relationship between various conformally invariant (pseudo-)metrics on Riemann surfaces and classical extremal problems. As a simple application, we will give universal estimates for (pseudo-)metrics which satisfy a contraction property with respect to a certain class of holomorphic maps.

submission: January 7, 2000

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