Characterizations of conformally flat hypersurfaces

DOI10.21136/cmj.1985.102002zbMath0586.53001OpenAlexW2518999048WikidataQ126045444 ScholiaQ126045444MaRDI QIDQ3711260

Leopold Verstraelen, Johan Deprez, Paul Verheyen

Publication date: 1985

Full work available at URL: https://eudml.org/doc/13498

zbMATH Keywords

curvature tensorhypersurfaceconformally flat

Mathematics Subject Classification ID

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

Related Items (1)

Conditions on the projective curvature tensor of hypersurfaces in euclidian space

Cites Work

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• Intrinsic characterizations for complex hypercylinders and complex hyperspheres
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Hypersurface with parallel Ricci tensor in a space of constant holomorphic sectional curvature
• On hypersurfaces satisfying a certain condition on the curvature tensor
• Homogeneity and some curvature conditions for hypersurfaces
• Hypersurfaces satisfying a certain condition on the Ricci tensor
• Some hypersurfaces of a sphere
• Hypersurfaces with parallel Ricci tensor
• Canonical metrics for certain conformally Euclidean spaces of dimension three and codimension one
• A class of complex hypersurfaces

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