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arXiv:1405.5307 [math.DG]AbstractReferencesReviewsResources

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

Nurettin Cenk Turgay

Published 2014-05-21, updated 2014-11-30Version 4

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.

Categories: math.DG
Subjects: 53C40, 53C42, 53C50
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