Abstract
In this paper, we treat hypersurfaces in a Euclidean space the number of whose distinct principal curvatures is constant almost everywhere. We call such a hypersurface satisfying certain additional condition a curvature netted hypersurface. First we shall define the notions of a twisted (or warped) sum immersion, a slant focal map and a slant tube. We shall investigate, in what case, a complete curvature netted hypersurface is immersed by a warped sum immersion or becomes a slant tube of the image of a slant focal map.
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