Willmore tori in the 4–Sphere with nontrivial normal bundle

Willmore tori in the 4–Sphere with nontrivial normal bundle
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DOI:
10.1007/s00208-005-0630-x
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发表时间:
2003-12
影响因子:
1.4
通讯作者:
K. Leschke;F. Pedit;U. Pinkall
K. Leschke;F. Pedit;U. Pinkall
中科院分区:
数学2区
文献类型:
--
作者:
K. Leschke;F. Pedit;U. Pinkall

文献摘要

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我们将具有非平凡法丛的4-球面上的Willmore环面刻画为复射影空间中椭圆曲线的Twistor投影或欧氏4-空间中的倒置极小环面(具有平面端点)。
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.