Hypersurfaces of type \(M^3_2\) in \(E^4_2\) with proper mean curvature vector

DOI10.1016/j.geomphys.2012.09.011zbMath1255.53014OpenAlexW1969043925MaRDI QIDQ1931526

Andreas Arvanitoyeorgos, George Kaimakamis

Publication date: 14 January 2013

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.09.011

zbMATH Keywords

minimal hypersurfacepseudo-Euclidean spacemean curvature vector fieldbienergy functional

Mathematics Subject Classification ID

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

Related Items (10)

A class of hypersurfaces in \(\mathbb{E}^{n+1}_s\) satisfying \(\Delta \vec{H} = \lambda\vec{H} \) ⋮ Hypersurfaces satisfying \(\tau_2(\phi)=\eta\tau (\phi)\) in pseudo-Riemannian space forms ⋮ Classification of \(f\)-biharmonic submanifolds in Lorentz space forms ⋮ Hypersurfaces satisfying \(\triangle \overrightarrow{H} = \lambda \overrightarrow{H}\) in \(\mathbb{E}_s^5\) ⋮ Hypersurfaces in \(\mathbb{E}_s^{n + 1}\) satisfying \(\operatorname{\Delta} \overrightarrow{H} = \lambda \overrightarrow{H}\) with at most two distinct principal curvatures ⋮ Hypersurfaces in \(\mathbb E_s^{n+1}\) satisfying \(\Delta\overrightarrow H=\lambda\overrightarrow H\) with at most three distinct principal curvatures ⋮ 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 ⋮ Minimality on biharmonic space-like submanifolds in pseudo-Riemannian space forms

This page was built for publication: Hypersurfaces of type \(M^3_2\) in \(E^4_2\) with proper mean curvature vector