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Conformally flat hypersurfaces of \(\mathbb{E}^4\) with constant mean curvature

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Publication:1572958
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DOI10.1007/BF03322002zbMath0980.53007WikidataQ125293007 ScholiaQ125293007MaRDI QIDQ1572958

Filip Defever

Publication date: 6 March 2002

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

constant mean curvatureminimalconformally flat hypersurfaces


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local Riemannian geometry (53B20)


Related Items (2)

Conformally flat hypersurfaces with constant scalar curvature ⋮ Minimal conformally flat hypersurfaces



Cites Work

  • Unnamed Item
  • A classification of certain 3-dimensional conformally flat Euclidean hypersurfaces
  • Hypersurfaces of \(\bar\mathbb{E}^ 4\) satisfying \(\Delta\vec H=\lambda\vec H\)
  • Canonical metrics for certain conformally Euclidean spaces of dimension three and codimension one
  • Compact Conformally Flat Hypersurfaces
  • Conformally Flat Manifolds


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