Neutral Calabi-Yau structures on Kodaira manifolds

DOI10.1007/s00220-004-1108-5zbMath1058.32018OpenAlexW2084913018MaRDI QIDQ1885624

Marianne Weye Sørensen, Anna Fino, Henrik Pedersen, Yat Sun Poon

Publication date: 11 November 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1108-5

zbMATH Keywords

Einstein equationsCalabi-Yau metricshypersymplectic structuresKodaira manifolds

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items

Double products and hypersymplectic structures on \(\mathbb R^{4n}\), Hyper-para-Kähler Lie algebras with abelian complex structures and their classification up to dimension 8, Geometry of paraquaternionic Kähler manifolds with torsion, Almost Kähler-Einstein structures on 8-dimensional Walker manifolds, Special symplectic Lie groups and hypersymplectic Lie groups, Ricci flatness of certain compact pseudo-Kähler solvmanifolds, The geometry of recursion operators, On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds, Generalized deformation of complex structures on nilmanifolds, Symmetric and skew-symmetric complex structures, Anti-self-dual conformal structures with null Killing vectors from projective structures, The Calabi–Yau equation on 4-manifolds over 2-tori, Complex symplectic structures on Lie algebras, Weak mirror symmetry of complex symplectic Lie algebras, Hyper-para-Hermitian manifolds with torsion, Hypersymplectic Lie algebras, Classification of the Weyl curvature spinors of neutral metrics in four dimensions, Abelian complex structures and generalizations, Para-Hermitian and paraquaternionic manifolds, Toric hypersymplectic quotients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kähler and symplectic structures on nilmanifolds
• Real homotopy theory of Kähler manifolds
• Actions for \((2,1)\) sigma models and strings
• Hypercomplex eight-dimensional nilpotent Lie groups.
• Variétés symplectiques affines. (Affine symplectic manifolds)
• Cotangent bundles of 4-dimensional hypercomplex Lie groups
• Neutral hyperkähler structures on primary Kodaira surfaces
• Minimal Models of Nilmanifolds
• Torus Bundles Over a Torus
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• On the Structure of Compact Complex Analytic Surfaces, I
• Complex structures on nilpotent Lie algebras