Proper biharmonic submanifolds in a sphere |
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| Authors: | Xian Feng Wang Lan Wu |
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| Institution: | (1) School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P. R. China;(2) Department of Mathematics, Renmin University of China, Beijing, 100872, P. R. China |
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| Abstract: | In this paper, we obtain a constraint of the mean curvature for proper biharmonic submanifolds in a sphere. We give some characterizations
of some proper biharmonic submanifolds with parallel mean curvature vector in a sphere. We also construct some new examples
of proper biharmonic submanifolds in a sphere. |
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| Keywords: | Proper biharmonic map parallel mean curvature vector mean curvature |
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