Abstract
The Lie symmetry groups of minimal surfaces by way of planar harmonic functions are determined. It is shown that a symmetry group acting on the minimal surfaces is isomorphic with H × H^2 — the analytic functions and the harmonic functions. A subgroup of this gives a generalization of the associated family which is examined.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Berry, Robert D., "A New Approach to Lie Symmetry Groups of Minimal Surfaces" (2004). Theses and Dissertations. 321.
https://scholarsarchive.byu.edu/etd/321
Date Submitted
2004-06-18
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd441
Keywords
minimal surfaces, Lie groups, harmonic, associated family, symmetry, geometric function theory
Language
English