A global pinching theorem for compact surfaces inS
3 with constant mean curvature |
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| Authors: | Hu Zejun Li Haizhong |
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| Affiliation: | (1) Department of Mathematics, Zhengzhou University, 450052 Zhengzhou, China;(2) Department of Applied Mathematics, Tsinghua University, 100084 Beijing, China |
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| Abstract: | LetM be a compact minimal surface inS
3. Y. J. Hsu5] proved that if  S2 2 2 , thenM is either the equatorial sphere or the Clifford torus, whereS is the square of the length of the second fundamental form ofM, ·2 denotes theL
2-norm onM. In this paper, we generalize Hsu's result to any compact surfaces inS
3 with constant mean curvature.Supported by NSFH. |
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| Keywords: | Compact surface Constant mean curvature Global pinching |
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