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math.DG2007★ 4 cited
Biharmonic Hypersurfaces in 4-Dimensional Space Forms
A. Balmuş, S. Montaldo, C. Oniciuc
We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces…
math.DG2007★ 2 cited
Classification results for biharmonic submanifolds in spheres
A. Balmuş, S. Montaldo, C. Oniciuc
We classify biharmonic submanifolds with certain geometric properties in Euclidean spheres. For codimension 1, we determine the biharmonic hypersurfaces with at most two distinct p…