Rational curves and special metrics on twistor spaces

DOI10.2140/gt.2014.18.897zbMath1300.53053arXiv1210.6725OpenAlexW1989220966MaRDI QIDQ2444360

Misha Verbitsky

Publication date: 9 April 2014

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6725

zbMATH Keywords

rationally connected varietytwister spaceSKT metric

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28) Rationally connected varieties (14M22)

Related Items (16)

Tamed symplectic cones of compact Hermitian-symplectic manifolds ⋮ On RC varieties without smooth rational curves ⋮ A construction of non-Kähler Calabi-Yau manifolds and new solutions to the Strominger system ⋮ Balanced Hermitian structures on almost abelian Lie algebras ⋮ Hessian of the natural Hermitian form on twistor spaces ⋮ Ergodic complex structures on hyperkähler manifolds ⋮ Plurisigned hermitian metrics ⋮ Special Hermitian metrics on Oeljeklaus–Toma manifolds ⋮ A variational approach to SKT and balanced metrics ⋮ On the existence of balanced and SKT metrics on nilmanifolds ⋮ A generalised volume invariant for Aeppli cohomology classes of Hermitian-symplectic metrics ⋮ Balanced manifolds and SKT metrics ⋮ Classification of non-Kähler surfaces and locally conformally Kähler geometry ⋮ SKT and tamed symplectic structures on solvmanifolds ⋮ On blow-ups and resolutions of Hermitian-symplectic and strongly Gauduchon metrics ⋮ Special Hermitian metrics on compact solvmanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudoholomorphic curves on nearly Kähler manifolds
• Tamed symplectic forms and generalized geometry
• Tamed symplectic forms and strong Kähler with torsion metrics
• Metric properties of manifolds bimeromorphic to compact Kähler spaces
• On the existence of special metrics in complex geometry
• An intrinsic characterization of Kähler manifolds
• Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry
• On twistor spaces of the class \({\mathcal C}\)
• La 1-forme de torsion d'une variété hermitienne compacte
• Pseudo holomorphic curves in symplectic manifolds
• Algebraicity criteria for compact complex manifolds
• Some exact sequences in cohomology theory for Kähler manifolds
• A geometric condition for an l.c.K. manifold to be Kähler
• The existence of anti-self-dual conformal structures
• Real homotopy theory of Kähler manifolds
• The Levi problem on complex spaces with singularities
• Non-Hermitian Yang-Mills connections
• Holomorphic curves in symplectic geometry
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Telescopic actions
• Stability of strongly Gauduchon manifolds under modifications
• Extension properties of meromorphic mappings with values in non-Kähler complex manifolds
• Kählerian Twistor Spaces
• Complex Plateau problem in non-Kähler manifolds
• A Parabolic Flow of Pluriclosed Metrics
• Hessian of the natural Hermitian form on twistor spaces

This page was built for publication: Rational curves and special metrics on twistor spaces