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On Dupin hypersurfaces with constant Möbius curvature

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Publication:953096
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DOI10.2140/PJM.2008.236.89zbMath1152.53010OpenAlexW2056678281MaRDI QIDQ953096

Carlos M. C. Riveros, Keti Tenenblat, Luciana Ávila Rodrigues

Publication date: 14 November 2008

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2008.236.89


zbMATH Keywords

conformally flat hypersurfacesDupin hypersurfacesconstant Möbius curvature


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)


Related Items (5)

On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Dupin hypersurfaces with constant Laguerre curvatures ⋮ Dupin hypersurfaces with four principal curvatures in \(\mathbb R^{5}\) with principal coordinates ⋮ On a class of Dupin hypersurfaces in \(\mathbb R^5\) with nonconstant Lie curvature ⋮ A characterization of Moebius isoparametric hypersurfaces of the sphere







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