Hypersurfaces with nonzero constant Gauss-Kronecker curvature in \(M^{n+1}(\pm1)\)

DOI10.1007/S11253-017-1327-5zbMath1490.53083OpenAlexW2611032368MaRDI QIDQ1729394

T. Zhu, Shichang Shu

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1327-5

zbMATH Keywords

hyperbolic spacehypersurfacesunit spherecharacterizations of Riemannian products

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• Unnamed Item
• Hypersurface of the hyperbolic space with constant scalar curvature
• Complete hypersurfaces with constant mean curvature in a unit sphere
• Hypersurfaces with parallel Ricci tensor
• Hypersurfaces with constant mean curvature and two principal curvatures in <img id="_x0000_i1025" src="../../../../img/revistas/aabc/v76n3/a03img01.gif" align=absbottom>n+1
• Compact hypersurfaces in a unit sphere
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

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