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Willmore submanifolds in the unit sphere via isoparametric functions |
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| Authors: | Yu Quan Xie |
| Institution: | Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, P. R. China |
| Abstract: | In this paper, we show that both focal submanifolds of each isoparametric hypersurface in the sphere with six distinct principal curvatures are Willmore, hence all focal submanifolds of isoparametric hypersurfaces in the sphere are Willmore. |
| Keywords: | Willmore submanifold isoparametric hypersurface focal submanifold |
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