76 citations · 108 across the 7 of their papers we have counts for
7 papers
New results toward the classification of Biharmonic submanifolds in
A. Balmus, S. Montaldo, C. Oniciuc
We prove some new rigidity results for proper biharmonic immersions in of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, wit…
Biharmonic PNMC Submanifolds in Spheres
Adina Balmus, Stefano Montaldo, Cezar Oniciuc
We obtain several rigidity results for biharmonic submanifolds in with parallel normalized mean curvature vector field. We classify biharmonic submanifolds in $\ma…
Biharmonic submanifolds with parallel mean curvature vector field in spheres
Adina Balmus, Cezar Oniciuc
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 wi…
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…
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…
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…