Biharmonic Hypersurfaces in Euclidean Spaces

Hiba Bibi, Marc Soret, Marina Ville

An isometric immersion $X:\hat{I}{\pounds }^n⟶{\mathbb{E}}^{n+1}$ is biharmonic if $\hat{I}{”}^{2}X=0$, i.e. if $\hat{I}”H=0$, where $\hat{I}”$ and $H$ are the metric Laplacian and the mean curvatur…