You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Fixed Points of an Analytic Self-Mapping
S. D. Fisher and John Franks
Proceedings of the American Mathematical Society
Vol. 99, No. 1 (Jan., 1987), pp. 76-78
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2046274
Page Count: 3
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Let R be a hyperbolic Riemann surface embedded in a compact Riemann surface of genus g and let f be an analytic function mapping R into R, f not the identity function. Then f has as most 2g + 2 distinct fixed points in R; equality may hold. If f has 2 or more distinct fixed points, then f is a periodic conformal automorphism of R onto itself. This paper contains a proof of this theorem and several related results.
Proceedings of the American Mathematical Society © 1987 American Mathematical Society