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A characterization of the Clifford torus |
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| Authors: | Qing-Ming Cheng Susumu Ishikawa |
| Institution: | Department of Mathematics, Faculty of Science, Josai University, Sakado, Saitama 350-0295, Japan ; Department of Mathematics, Saga University, Saga 840-0027, Japan |
| Abstract: | In this paper, we prove that an  -dimensional closed minimal hypersurface  with Ricci curvature  of a unit sphere  is isometric to a Clifford torus if  , where  is the squared norm of the second fundamental form of  . |
| Keywords: | Minimal hypersurfaces scalar curvature Ricci curvature Clifford torus |
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