Abstract
A hypersurface M in En is called a “Dupin hypersurface if along each curvature surface of M the corresponding principal curvature is constant. For n=3 the only Dupin hypersurfaces are spheres, planes and the well known cyclides of Dupin. In this paper all Dupin hypersurfaces in E4 are explicitly determined.
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Literatur
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Pinkall, U. Dupin'sche Hyperflächen in E4 . Manuscripta Math 51, 89–119 (1985). https://doi.org/10.1007/BF01168348
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DOI: https://doi.org/10.1007/BF01168348