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arXiv · 1211.4137

Equivariant constrained Willmore tori in the 3-sphere

Lynn Heller
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Abstract

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 associated spectral curve of an equivariant torus is given by a double covering of $\mathbb C$ and classify equivariant constrained Willmore tori by the genus g of their spectral curve. In this case the spectral genus satisfies $g \leq 3.$

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Lynn Heller. 2014-05-15. Equivariant constrained Willmore tori in the 3-sphere. https://doi.org/10.1007/s00209-014-1340-4

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