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 spectral curve associated to 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 \(g \le 3\).
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The author is supported by the Sonderforschungsbereich Transregio 71.
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Heller, L. Equivariant constrained Willmore tori in the 3-sphere. Math. Z. 278, 955–977 (2014). https://doi.org/10.1007/s00209-014-1340-4
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DOI: https://doi.org/10.1007/s00209-014-1340-4