Stephen Taylor

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math.DG2006

Minimal Surface Linear Combinatoin Theorem

Michael Dorff, Stephen Taylor

Given two univalent harmonic mappings $f_{1}$ and $f_{2}$ on $D$ , which lift to minimal surfaces via the Weierstrass-Enneper representation theorem, we give necessary and suff…

math.DG2006

Locally Isometric Families of Minimal Surfaces

Aaron Peterson, Stephen Taylor

We consider a surface $M$ immersed in $R^{3}$ with induced metric $g = ψ δ_{2}$ where $δ_{2}$ is the two dimensional Euclidean metric. We then construct a system of partial differe…