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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The first author was supported by National Natural Science Foundation of China (Grant No. 10701007)
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Wang, X.F., Wu, L. Proper biharmonic submanifolds in a sphere. Acta. Math. Sin.-English Ser. 28, 205–218 (2012). https://doi.org/10.1007/s10114-012-9018-5
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DOI: https://doi.org/10.1007/s10114-012-9018-5