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Rigidity of compact minimal submanifolds in a unit sphere |
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| Authors: | Qing Chen Senlin Xu |
| Affiliation: | (1) Department of Mathematics, University of Science and Technology of China, 230026 Hefei, Anhui, People's Republic of China |
| Abstract: | LetM be ann-dimensional compact minimal submanifold of a unit sphereSn+p (p 2); and letS be a square of the length of the second fundamental form. IfS 2/3n everywhere onM, thenM must be totally geodesic or a Veronese surface. |
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