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

Included in

Mathematics Commons

Share

COinS