Harmonicity of proper almost complex structures on Walker 4-manifolds

DOI10.1142/S0219887817500943zbMath1367.53057MaRDI QIDQ5269957

Oleg Mushkarov, Absar Ul Haq, Johann Davidov

Publication date: 28 June 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Walker metricproper almost complex structureharmonic almost complex structurehyperbolic twistor space

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds
• Self-dual Walker metrics with a two-step nilpotent Ricci operator
• Almost Kähler Walker 4-manifolds
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• On the Riemannian curvature of a twistor space
• Indefinite Kähler-Einstein metrics on compact complex surfaces
• Almost complex structures that are harmonic maps
• Compact complex surfaces with geometric structures related to split quaternions
• Orthogonal almost-complex structures of minimal energy
• Einstein manifolds
• Hermitian-Walker 4-manifolds
• Hyperbolic twistor space
• Walker 4-manifolds with proper almost complex structures
• The Geometry of Walker Manifolds
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES