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arxiv: math/0312421 · v1 · submitted 2003-12-23 · 🧮 math.DG

Willmore tori in the 4-sphere with nontrivial normal bundle

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keywords toribundlenontrivialnormalspacespherewillmorecharacterize
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We characterize Willmore tori in the 4-sphere with nontrivial normal bundle as Twistor projections of elliptic curves in complex projective space or as inverted minimal tori (with planar ends) in Euclidean 4-space.

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