On spectral characterizations of Willmore hypersurfaces in a sphere |
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Authors: | Zhen-he Li Wei Wang |
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Institution: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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Abstract: | Let M be a closed Willmore hypersurface in the sphere S
n+1(1) (n ≥ 2) with the same mean curvature of the Willmore torus W
m,n?m
, if Spec
p
(M) = Spec
p
(W
m,n?m
) (p = 0, 1, 2), then M is W
m,n?m
. |
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Keywords: | spectrum Willmore hypersurface mean curvature |
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