Noncompact surfaces are packable
- 44 Downloads
We show that every noncompact Riemann surface of finite type supports a circle packing. This extends earlier work of Robert Brooks  and Phil Bowers and Ken Stephenson [3, 4], who showed that the packable surfaces are dense in moduli space.
KeywordsRiemann Surface Fundamental Domain Finite Type Circle Packing Closed Chain
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
- K. Stephenson, Course Notes for Seminar in Analysis, Chapter 10, Fall 2001, http://www.math.utk,edu/kens/cp01/.Google Scholar
- W. Thurston,The finite Riemann mapping theorem, 1985, Invited talk, An International Symposium at Purdue University on the occasion of the proof of the Bieberbach conjecture, March 1985.Google Scholar
© Hebrew University of Jerusalem 2003