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A New Approach to Lie Symmetry Groups of Minimal Surfaces A New Approach to Lie Symmetry Groups of Minimal Surfaces

by Berry, Robert D

Abstract (Summary)

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 $H times H^2$ -- the analytic functions and the harmonic functions. A subgroup of this gives a generalization of the associated family which is examined.

Bibliographical Information:

Advisor:

School:Brigham Young University

School Location:USA - Utah

Source Type:Master's Thesis

Keywords:minimal surfaces lie groups harmonic associated family symmetry geometric function theory

ISBN:

Date of Publication:06/15/2004

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