On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces

We survey standard topics in elementary differential geometry and complex analysis to build up the necessary theory for studying applications of univalent harmonic function theory to minimal surfaces. We then proceed to consider convex combination harmonic mappings of the form f=sf_1+(1-s) f_2 and g...

Full description

Bibliographic Details
Main Author: Taylor, Stephen M.
Format: Others
Published: BYU ScholarsArchive 2007
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/1003
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2002&context=etd