BIHARMONIC SUBMANIFOLDS IN NONFLAT LORENTZ 3-SPACE FORMS

DOI10.1017/S0004972711002978zbMath1250.53060OpenAlexW2162571660WikidataQ125766756 ScholiaQ125766756MaRDI QIDQ2891970

Toru Sasahara

Publication date: 18 June 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972711002978

zbMATH Keywords

de Sitter spaceanti-de Sitter spacebiharmonic curvesbiharmonic surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Local submanifolds (53B25)

Related Items

Classification of f-biharmonic curves in Lorentz-Minkowski space, Unnamed Item, Hypersurfaces satisfying \(\tau_2(\phi)=\eta\tau (\phi)\) in pseudo-Riemannian space forms, Classification of \(f\)-biharmonic submanifolds in Lorentz space forms, Unnamed Item, Biharmonic curves in a strict Walker 3-manifold, Biconservative hypersurfaces in \(\mathbb{E}^4_1\) with non-diagonalizable shape operator, Polyharmonic hypersurfaces into pseudo-Riemannian space forms, Biharmonic hypersurfaces in pseudo-Riemannian space forms with at most two distinct principal curvatures, Biharmonic submanifolds of pseudo-Riemannian manifolds, Classification of \(\eta \)-biharmonic surfaces in non-flat Lorentz space forms, Biharmonic maps on tangent and cotangent bundles, Biharmonic submanifolds with parallel normalized mean curvature vector field in pseudo-Riemannian space forms, On \(\eta\)-biharmonic hypersurfaces with constant scalar curvature in higher dimensional pseudo-Riemannian space forms, On \(\eta\)-biharmonic hypersurfaces in pseudo-Riemannian space forms, Unnamed Item, Minimality on biharmonic space-like submanifolds in pseudo-Riemannian space forms, Classification of proper biharmonic hypersurfaces in pseudo-Riemannian space forms, Explicit classification of biconservative surfaces in Lorentz 3-space forms, Slant curves in the Lorentzian warped product manifold \(-I \times_f{\mathbb{E}}^2\)

Cites Work

• Biharmonic submanifolds in spheres.
• 2-type surfaces in \(S_ 1^ 3\) and \(H_ 1^ 3\)
• Biharmonic curves in Minkowski 3-space
• BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• BIHARMONIC LAGRANGIAN SURFACES OF CONSTANT MEAN CURVATURE IN COMPLEX SPACE FORMS
• Harmonic Mappings of Riemannian Manifolds