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A New Approach To Lie Symmetry Groups Of Minimal Surfaces, Robert D. Berry
A New Approach To Lie Symmetry Groups Of Minimal Surfaces, Robert D. Berry
Theses and Dissertations
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.