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- W2035366901 abstract "Constrained Willmore surfaces are critical points of the Willmore functional under conformal variations. As shown in [5] one can associate with any conformally immersed constrained Willmore torus f a compact Riemann surface Σ, such that f can be reconstructed in terms of algebraic data on Σ. Particularly interesting examples of constrained Willmore tori are the tori with constant mean curvature (CMC) in a 3-dimensional space form. It is shown in [11] and in [14] that the spectral curves of these tori are hyperelliptic. In this paper we show under mild conditions that a constrained Willmore torus f in S3 is a CMC torus in a 3-dimensional space form if its spectral curve has the structure of a CMC spectral curve." @default.
- W2035366901 created "2016-06-24" @default.
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- W2035366901 date "2015-06-01" @default.
- W2035366901 modified "2023-10-17" @default.
- W2035366901 title "Constrained Willmore and CMC tori in the 3-sphere" @default.
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- W2035366901 doi "https://doi.org/10.1016/j.difgeo.2015.03.003" @default.
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