CONSTANT SCALAR CURVATURE HYPERSURFACES WITH SECOND-ORDER UMBILICITY

DOI10.1017/S0017089508004643zbMath1167.53051OpenAlexW2093737306MaRDI QIDQ3633308

Fernando Enrique Echaiz-Espinoza, Antonio Gervásio Colares

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1017/s0017089508004643

zbMATH Keywords

isometric immersionhigher order umbilicity

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25) Local Riemannian geometry (53B20)

Cites Work

• Compact hypersurfaces with a constant higher mean curvature function
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Hypersurfaces of a space of constant curvature
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Hypersurfaces with Constant Mean Curvature in Spheres
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature