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On the Ricci curvature of a compact hypersurface in Euclidean space

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Publication:1891978
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DOI10.1007/BF00774567zbMath0831.53034OpenAlexW1973534725MaRDI QIDQ1891978

Pui-Fai Leung

Publication date: 6 June 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00774567


zbMATH Keywords

Ricci curvaturepinchinghypersurfaces in Euclidean space


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)


Related Items (1)

Rigidity of spheres in Riemannian manifolds and a non-embedding theorem




Cites Work

  • A characterization for 3-spheres
  • Elementary geometric applications of a maximum principle for nonlinear elliptic operators
  • On the Sectional Curvature of Compact Hypersurfaces
  • Complete hypersurface of non-positive Ricci curvature
  • Isometric Embedding of a Compact Riemannian Manifold into Euclidean Space




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