Biharmonic submanifolds with parallel mean curvature vector field in spheres |
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| Authors: | A. Balmuş C. Oniciuc |
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| Affiliation: | Faculty of Mathematics, “Al.I. Cuza” University of Iasi, Bd. Carol I Nr. 11, 700506 Iasi, Romania |
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| Abstract: | We present some results on the boundedness of the mean curvature of proper biharmonic submanifolds in spheres. A partial classification result for proper biharmonic submanifolds with parallel mean curvature vector field in spheres is obtained. Then, we completely classify the proper biharmonic submanifolds in spheres with parallel mean curvature vector field and parallel Weingarten operator associated to the mean curvature vector field. |
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