Classifying hypersurfaces in the Lorentz-Minkowski space with a characteristic eigenvector

DOI10.3836/TJM/1270129470zbMath0777.53021OpenAlexW2084158656MaRDI QIDQ1210383

Pascual Lucas, Angel Ferrández

Publication date: 8 December 1993

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

Full work available at URL: https://doi.org/10.3836/tjm/1270129470

zbMATH Keywords

constant mean curvatureLaplaciangeneralized umbilical hypersurface

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

Hypersurfaces in the non-flat Lorentzian space forms with a characteristic eigenvector field ⋮ Hypersurfaces satisfying \(\tau_2(\phi)=\eta\tau (\phi)\) in pseudo-Riemannian space forms ⋮ Lorentz hypersurfaces satisfying \(\triangle \vec {H}= \alpha \vec {H}\) with non diagonal shape operator ⋮ Classification of \(f\)-biharmonic submanifolds in Lorentz space forms ⋮ Hypersurfaces satisfying \(\triangle \overrightarrow{H} = \lambda \overrightarrow{H}\) in \(\mathbb{E}_s^5\) ⋮ Lorentz hypersurfaces in pseudo-Euclidean space \(E_1^5\) ⋮ 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 \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\) ⋮ Hypersurfaces in pseudo-Euclidean space with condition \(\Delta\mathbf{H}=\lambda\mathbf{H}\) ⋮ On \(\eta\)-biharmonic hypersurfaces with constant scalar curvature in higher dimensional pseudo-Riemannian space forms ⋮ On \(\eta\)-biharmonic hypersurfaces in pseudo-Riemannian space forms

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