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...
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Format: | Others |
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BYU ScholarsArchive
2007
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Online Access: | https://scholarsarchive.byu.edu/etd/1003 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2002&context=etd |