Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 175

On the Numerical Approximation and Computation of Minimal-Surface-Continua bounded by One-Parameter-Families of Polygonal Contours

M. Hinze

Minimal surfaces bounded by a polygon in the euclidean q-space correspond in a one-to-one mannner to the critical points of Shiffman`s function. For arbitrary, but fixed polygons this function was investigated numerically by the author in Sfb 288 preprint No. 139. The present work extends these results to classes of parameter-dependant polygons. In the numerical part investigations on the bifurcation process of one-parameter families of polygonal approximations of three well-known contour families are presented.

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