Curvature properties of some class of minimal hypersurfaces in Euclidean spaces

Ryszard Deszcz, Malgorzata Glogowska, Miroslava Petrovic-Torgasev, Leopold Verstraelen


We determine curvature properties of pseudosymmetry type of some class of minimal 2-quasiumbilical
hypersurfaces in Euclidean spaces En+1, n ≥ 4. We present examples of such hypersurfaces. The
obtained results are used to determine curvature properties of biharmonic hypersurfaces with three distinct
principal curvatures in E5. Those hypersurfaces were recently investigated by Y. Fu in [38].

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