A New Approach to Lie Symmetry Groups of Minimal Surfaces

<p>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.</p>

Name thesis:degree_name

MS

Grantor dc:publisher

Brigham Young University - Provo

Author dc:creator

• Berry, Robert D.

• minimal surfaces
• Lie groups
• harmonic
• associated family
• symmetry
• geometric function theory
• Mathematics

Language dc:language

English

Repository record dc:identifier

https://scholarsarchive.byu.edu/etd/321

OAI identifier oai:identifier

oai:scholarsarchive.byu.edu:etd-1320