Conformal Willmore Tori in ${\mathbb{R}}^4$

Tobias Lamm, Reiner M. Schätzle

For every two-dimensional torus $T^2$ and every $k\in \mathbb{N}$, $k\ge 3$, we construct a conformal Willmore immersion $f:T^2\to {\mathbb{R}}^4$ with exactly one point of density $…