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arXiv · 1903.11823

Isothermic constrained Willmore tori in 3-space

Lynn Heller·Sebastian Heller·Cheikh Birahim Ndiaye
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Abstract

We show that the homogeneous and the 2-lobe Delaunay tori in the 3-sphere provide the only isothermic constrained Willmore tori in 3-space with Willmore energy below $8\pi$. In particular, every constrained Willmore torus with Willmore energy below $8\pi$ and non-rectangular conformal class is non-degenerated.

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Lynn Heller, Sebastian Heller, Cheikh Birahim Ndiaye. 2019-03-28. Isothermic constrained Willmore tori in 3-space. https://arxiv.org/abs/1903.11823

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