H-hypersurfaces with at most 3 distinct principal curvatures in the Euclidean spaces

Abstract

In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $\mbox{H}$-hypersurfaces. Then, we give the complete classification of $\mbox{H}$-hypersurfaces with 3 distinct curvatures. We also give explicit examples.

References in corpus (1)

• Biharmonic hypersurfaces with three distinct principal curvatures in Euclidean space