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arXiv · 1405.5307

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

Nurettin Cenk Turgay
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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.

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Nurettin Cenk Turgay. 2014-11-30. H-hypersurfaces with at most 3 distinct principal curvatures in the Euclidean spaces. https://arxiv.org/abs/1405.5307

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