Graduation Year

2000

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Second Department

Physics

Reader 1

Weiqing Gu

Reader 2

Thomas Helliwell

Abstract

This summer Herman Gluck and Weiqing Gu proved the last step in a process that took conformal maps between two complex spaces and related them to Volume Preserving Great Circle Fibrations of S3. These fibrations, which are non-intersecting flows, break down under certain conditions. We obtained the fibrations by applying the process to different conformal maps then calculated the angles where they intersect. This paper centers around the developments in the method for converting the conformal maps and finding the critical angles. Finally, the examples are included in their various stages of completeness.

Share

COinS