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Willmore tori in the 4-sphere with nontrivial normal bundle

K. Leschke, F. Pedit, U. Pinkall

math.DGarXiv:math/0312421

Abstract

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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