Conformally flat hypersurfaces with constant scalar curvature

DOI10.1016/j.difgeo.2018.08.002zbMath1398.53011OpenAlexW2390151822WikidataQ115355064 ScholiaQ115355064MaRDI QIDQ1792432

Yanyan Li

Publication date: 11 October 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.08.002

zbMATH Keywords

principal curvaturesconformally flatEuclidean hypersurface

Mathematics Subject Classification ID

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

Cites Work

• Hypersurfaces of two space forms and conformally flat hypersurfaces
• Rotational hypersurfaces of space forms with constant scalar curvature
• Conformally flat hypersurfaces of \(\mathbb{E}^4\) with constant mean curvature
• Decomposition of twisted and warped product nets
• On conformally flat hypersurfaces and Guichard's nets
• Hypersurfaces with parallel Ricci tensor in spaces of constant curvature
• Minimal conformally flat hypersurfaces
• Hypersurfaces with parallel Ricci tensor
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Conformally flat hypersurfaces with constant Gauss-Kronecker curvature

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