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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 153
Numerical examples of Compact Constant Mean Curvature Surfaces K. Grosse-Brauckmann, K. Polthier
We construct new examples of compact CMC surfaces of higher genus numerically. A conjugate surface method allows to explicitly construct examples. We employ the numerical algorithm of Oberknapp and Polthier based on discrete techniques to find area minimizers in the sphere S3 and to conjugate them to surfaces of constant mean curvature in R3. We compute examples of genus 5 and 12 and discuss a further example of genus 3
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