The order of conformal automorphisms of Riemann surfaces of infinite type
The order of conformal automorphisms of Riemann surfaces of infinite type
复制标题
无限型黎曼曲面的共形自同构阶
DOI：
10.2996/kmj/1050496645
复制
发表时间：
2003
影响因子：
0.6
通讯作者：
Ege Fujikawa
中科院分区：
文献类型：
--
作者：
Ege Fujikawa
设R为无限型黎曼曲面，使得R中任意点的注入半径小于正常数M， f为R的保形自同构，固定R中的紧子集。我们证明了f的阶数小于某常数，这取决于M。
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 .