"A New Approach to Lie Symmetry Groups of Minimal Surfaces" by Robert D. Berry

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/

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

Included in

Mathematics Commons

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