Lorentz hypersurfaces in \(E_{1}^{4}\) satisfying \(\Delta\overset\rightarrow H=\alpha \overset\rightarrow H\)
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Publication:2267719
zbMath1190.53013MaRDI QIDQ2267719
Andreas Arvanitoyeorgos, Martin A. Magid, George Kaimakamis
Publication date: 1 March 2010
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ijm/1266934794
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)
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Cites Work
- On surfaces in the 3-dimensional Lorentz-Minkowski space
- Biharmonic Lorentz hypersurfaces in \(E^4_1\)
- Hypersurfaces of \(E_s^4\) with proper mean curvature vector
- Null 2-type surfaces in \(E^ 3\) are circular cylinders
- Classifying hypersurfaces in the Lorentz-Minkowski space with a characteristic eigenvector
- A classification of certain 3-dimensional conformally flat Euclidean hypersurfaces
- Hypersurfaces of \(\bar\mathbb{E}^ 4\) satisfying \(\Delta\vec H=\lambda\vec H\)
- Some classification theorems for submanifolds in Minkowski space-time
- Submanifolds in de Sitter space-time satisfying \(\Delta H = \lambda H\)
- Lorentzian isoparametric hypersurfaces
- BIHARMONIC SURFACES IN PSEUDO-EUCLIDEAN SPACES
- Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
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