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math.DG2009★ 10 cited
Properties of biharmonic submanifolds in spheres
A. Balmuş, S. Montaldo, C. Oniciuc
In the present paper we survey the most recent classification results for proper biharmonic submanifolds in unit Euclidean spheres. We also obtain some new results concerning geome…
math.DG2009★ 2 cited
Biharmonic surfaces of
A. Balmuş, C. Oniciuc
In this note we prove that a constant mean curvature surface is proper-biharmonic in the unit Euclidean sphere if and only if it is minimal in a hypersphere $\mathbb…