Equivariant constrained Willmore tori in the 3-sphere

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  • Lynn Heller

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OriginalspracheEnglisch
FachzeitschriftMath. Z.
PublikationsstatusVeröffentlicht - 2014

Abstract

In this paper we study equivariant constrained Willmore tori in the 3-sphere. These tori admit a 1-parameter group of M\"obius 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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Equivariant constrained Willmore tori in the 3-sphere. / Heller, Lynn.
in: Math. Z., 2014.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Heller L. Equivariant constrained Willmore tori in the 3-sphere. Math. Z. 2014. doi: 10.1007/s00209-014-1340-4
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