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For questions about minimal surfaces in the sense of Riemannian geometry (as opposed to complex geometry).

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Can we bound the squared Gaussian curvature of genus three triply periodic minimal surfaces?

Assume that $\mathcal{M}$ is a balanced triply periodic minimal surface of genus 3, embedded in a flat torus $T^3=\mathbb{R}^3/\Lambda$ for a lattice $\Lambda$ with volume 1. I want to understand the …
Matthias Himmelmann's user avatar