Acta mathematica scientia, Series B >
NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES
Received date: 2012-02-05
Online published: 2013-09-20
Let M be a closed extremal hypersurface in Sn+1 with the same mean curva-ture 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.
Key words： spectrum; Laplace operator; extremal hypersurface
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 . DOI: 10.1016/S0252-9602(13)60079-X
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