Abstract
An isometric immersion \({x:M^n\rightarrow S^{n+p}}\) is called Willmore if it is an extremal submanifold of the Willmore functional: \({W(x)=\int\nolimits_{M^n} (S-nH^2)^{\frac{n}{2}}dv}\), where S is the norm square of the second fundamental form and H is the mean curvature. Examples of Willmore submanifolds in the unit sphere are scarce in the literature. This article gives a series of new examples of Willmore submanifolds in the unit sphere via isoparametric functions of FKM-type.
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Dedicated to Professor Chiakuei Peng on his 70-th birthday.
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Tang, Z., Yan, W. New examples of Willmore submanifolds in the unit sphere via isoparametric functions. Ann Glob Anal Geom 42, 403–410 (2012). https://doi.org/10.1007/s10455-012-9319-z
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DOI: https://doi.org/10.1007/s10455-012-9319-z