Harmonic almost-complex structures on twistor spaces

DOI10.1007/BF02785864zbMath1021.53027MaRDI QIDQ1852730

Yanyan Li

Publication date: 13 October 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationtwistor spacealmost-complex structureself-dual manifold

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items

Harmonic almost contact structures ⋮ Harmonic flow of geometric structures ⋮ Rigidity results for Riemannian twistor spaces under vanishing curvature conditions ⋮ Harmonic sections of homogeneous fibre bundles. ⋮ Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures ⋮ Geometry of \(G\)-structures via the intrinsic torsion ⋮ Harmonic geometric structures: the general theory and the cases of almost complex and almost contact structures

Cites Work

• The sixteen classes of almost Hermitian manifolds and their linear invariants
• On the Riemannian curvature of a twistor space
• Self-dual manifolds with positive Ricci curvature
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Kählerian Twistor Spaces
• Compact four-dimensional self-dual EINSTEIN manifolds with positive scalar curvature
• Instability of the nearly-Kähler six-sphere.
• Self-duality in four-dimensional Riemannian geometry
• Compact four-dimensional Einstein manifolds
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