Curvature Properties of some Class of Minimal Hypersurfaces in Euclidean Spaces


Ryszard Deszcza, Małgorzata Głogowska, Miroslava Petrović-Torgašev, Leopold Verstraelen




We determine curvature properties of pseudosymmetry type of some class of minimal 2-quasiumbilical hypersurfaces in Euclidean spaces $\Bbb E^{n+1}$, $n\geq4$. We present examples of such hypersurfaces. The obtained results are used to determine curvature properties of biharmonic hypersurfaces with three distinct principal curvatures in $\Bbb E^5$. Those hypersurfaces were recently investigated by Y. Fu in [38].