New Spectral Characterizations of Extremal Hypersurfaces |
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Authors: | Dengyun YANG Hongwei XU Haiping FU |
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Institution: | 1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China;2. Center of Mathematics Sciences, Zhejiang University, Hangzhou 310027, China;3. Department of Mathematics, Nanchang University, Nanchang 330031, China |
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Abstract: | Let M be a closed extremal hypersurface in Sn+1 with the same mean curvature of the Willmore torus Wm, n-m. We proved that if Specp(M) = Specp(Wm, n-m) for p = 0,1,2, then M is Wm, m. |
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Keywords: | spectrum Laplace operator extremal hypersurface |
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