On the biharmonicity of vector fields on pseudo-Riemannian manifolds

DOI10.5831/HMJ.2023.45.2.300MaRDI QIDQ6543528

Mustafa Özkan, Bouazza Kacimi, Amina Alem

Publication date: 24 May 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Sasaki metrictangent bundlepseudo-Riemannian manifoldsbiharmonic mapsGödel universe

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Cites Work

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• Biharmonic submanifolds of pseudo-Riemannian manifolds
• Spacelike energy of timelike unit vector fields on a Lorentzian manifold
• Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups
• The biharmonicity of sections of the tangent bundle
• Relationship between volume and energy of vector fields.
• Biharmonic vector fields on pseudo-Riemannian manifolds
• Vector fields which are biharmonic maps
• Lorentzian geometry of the Heisenberg group
• On the Geometry of the Tangent Bundle.
• 2-harmonic maps and their first and second variational formulas
• Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
• Harmonic Mappings of Riemannian Manifolds

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