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Title of Journal: Geom Dedicata

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Abbravation: Geometriae Dedicata

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Springer Netherlands

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1572-9168

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On a class of Dupin hypersurfaces in R5 with

Authors: Marcelo Lopes Ferro Luciana Ávila Rodrigues Keti Tenenblat
Publish Date: 2013/04/17
Volume: 169, Issue: 1, Pages: 301-321
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Abstract

We consider a class of Dupin hypersurface in R5 parametrized by lines of curvature with four distinct principal curvatures We provide a characterization of such hypersurfaces in terms of the principal curvatures and three vector valued functions of one variable We prove that these functions describe plane curves The Lie curvature of these hypersurfaces is not constant but some Moebius curvatures are constant along certain lines of curvature We give explicit examples of such Dupin hypersurfaces

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