Minimality on biharmonic space-like submanifolds in pseudo-Riemannian space forms
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Publication:2347270
DOI10.1016/J.GEOMPHYS.2015.02.008zbMath1325.58007OpenAlexW2049647756WikidataQ115353108 ScholiaQ115353108MaRDI QIDQ2347270
Li Du, Juan Zhang, Jiancheng Liu
Publication date: 27 May 2015
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.02.008
mean curvatureparallel mean curvature vectorbiharmonic mapbiharmonic submanifoldpseudo-Riemannian space formbiharmonic space-like submanifold
Related Items (5)
Hypersurfaces satisfying \(\tau_2(\phi)=\eta\tau (\phi)\) in pseudo-Riemannian space forms ⋮ Triharmonic hypersurfaces with constant mean curvature in pseudo-Riemannian space forms ⋮ Biharmonic submanifolds of pseudo-Riemannian manifolds ⋮ Classification of \(\eta \)-biharmonic surfaces in non-flat Lorentz space forms ⋮ Biharmonic submanifolds with parallel normalized mean curvature vector field in pseudo-Riemannian space forms
Cites Work
- Biharmonic hypersurfaces in Riemannian manifolds
- On the generalized Chen's conjecture on biharmonic submanifolds
- Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space \(\mathbb E_s^4\)
- Biharmonic Lorentz hypersurfaces in \(E^4_1\)
- On complete spacelike submanifolds with second fundamental form locally timelike in a semi-Riemannian space form
- Hypersurfaces of \(E_s^4\) with proper mean curvature vector
- Hypersurfaces of type \(M^3_2\) in \(E^4_2\) with proper mean curvature vector
- Proper biharmonic submanifolds in a sphere
- Lorentz hypersurfaces in \(E_{1}^{4}\) satisfying \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\)
- Biharmonic hypersurfaces in complete Riemannian manifolds
- BIHARMONIC SUBMANIFOLDS IN NONFLAT LORENTZ 3-SPACE FORMS
- BIHARMONIC SURFACES IN PSEUDO-EUCLIDEAN SPACES
- BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES
- Harmonic Mappings of Riemannian Manifolds
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