Abstract
Let $R$ be a Riemann surface of infinite type such that the injectivity radius at any point in $R$ is less than a positive constant $M$, and $f$ a conformal automorphism of $R$ fixing a compact subset in $R$. We show that the order of $f$ is less than a certain constant depending on $M$.
Citation
Ege Fujikawa. "The order of conformal automorphisms of Riemann surfaces of infinite type." Kodai Math. J. 26 (1) 16 - 25, March 2003. https://doi.org/10.2996/kmj/1050496645
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