%0 Journal Article
%T New results toward the classification of Biharmonic submanifolds in $\mathbb{S}^{n}$
%A A. Balmus
%A S. Montaldo
%A C. Oniciuc
%J Mathematics
%D 2011
%I arXiv
%X We prove some new rigidity results for proper biharmonic immersions in ${\mathbb S}^n$ of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fundamental form; hypersurfaces satisfying intrinsic properties; PMC submanifolds; parallel submanifolds.
%U http://arxiv.org/abs/1111.6063v2