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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Berry, Robert D., "A New Approach to Lie Symmetry Groups of Minimal Surfaces" (2004). Theses and Dissertations. 321.
minimal surfaces, Lie groups, harmonic, associated family, symmetry, geometric function theory