FUJIKAWA, Ege

The order of conformal automorphisms of Riemann surfaces of infinite type

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.


submission: 13 June, 2002

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