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A classification of certain 3-dimensional conformally flat Euclidean hypersurfaces

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Publication:1318478
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DOI10.2140/PJM.1994.162.13zbMath0791.53026OpenAlexW1976208394MaRDI QIDQ1318478

Óscar J. Garay

Publication date: 18 July 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1994.162.13


zbMATH Keywords

Laplacianharmonic mean curvatureconformally flat hypersurfaces


Mathematics Subject Classification ID

Local submanifolds (53B25)


Related Items (7)

Hypersurfaces satisfying \(\tau_2(\phi)=\eta\tau (\phi)\) in pseudo-Riemannian space forms ⋮ H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces ⋮ \(B\)-scrolls with non-diagonalizable shape operators. ⋮ Hypersurfaces in \(\mathbb E_s^{n+1}\) satisfying \(\Delta\overrightarrow H=\lambda\overrightarrow H\) with at most three distinct principal curvatures ⋮ Lorentz hypersurfaces in \(E_{1}^{4}\) satisfying \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\) ⋮ Conformally flat hypersurfaces of \(\mathbb{E}^4\) with constant mean curvature ⋮ \(p\)-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps







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