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arxiv: 1405.5307 · v4 · pith:M7EENNLUnew · submitted 2014-05-21 · 🧮 math.DG

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

classification 🧮 math.DG
keywords hypersurfacescurvaturesdistincteuclideangivemboxspacesarbitrary
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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.

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