NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES

doi:10.1016/S0252-9602(13)60079-X

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1269-1274.doi: 10.1016/S0252-9602(13)60079-X

NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES

杨登允|许洪伟|付海平

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China|Center of Mathematics Sciences, Zhejiang University, Hangzhou 310027, China|Department of Mathematics, Nanchang University, Nanchang 330031, China

收稿日期:2012-02-05 出版日期:2013-09-20 发布日期:2013-09-20

NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES

YANG Deng-Yun, XU Hong-Wei, FU Hai-Ping

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China|Center of Mathematics Sciences, Zhejiang University, Hangzhou 310027, China|Department of Mathematics, Nanchang University, Nanchang 330031, China

Received:2012-02-05 Online:2013-09-20 Published:2013-09-20

摘要/Abstract

摘要：

Let M be a closed extremal hypersurface in Sⁿ⁺¹ with the same mean curva-ture of the Willmore torus W_m,n−m. We proved that if Specp(M) = Spec^p(W_m,n−_m) for p = 0, 1, 2, then M is W_m,m.

关键词: spectrum, Laplace operator, extremal hypersurface

Abstract:

Key words: spectrum, Laplace operator, extremal hypersurface

中图分类号:

53C25

杨登允, 许洪伟, 付海平. NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES[J]. 数学物理学报(英文版), 2013, 33(5): 1269-1274.

YANG Deng-Yun, XU Hong-Wei, FU Hai-Ping. NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES[J]. Acta mathematica scientia,Series B, 2013, 33(5): 1269-1274.

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NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES

NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES

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