Lynn Heller

Equivariant constrained Willmore tori in the 3-sphere

In this paper we study equivariant constrained Willmore tori in the 3-sphere. These tori admit a 1-parameter group of Möbius symmetries and are critical points of the Willmore energy under conformal variations. We show that the spectral curve associated to an equivariant torus is given by a double covering of

The spectral curve theory for (k, l)-symmetric CMC surfaces

\mathbb {C}

Equivariant Constrained Willmore Tori in S^3

C and classify equivariant constrained Willmore tori by the genus

4

g

Navigating the Space of Symmetric CMC Surfaces

g of their spectral curve. In this case the spectral genus satisfies