Curvature properties of twistor spaces
From MaRDI portal
Publication:2227084
DOI10.1134/S008154382006005XzbMath1457.53036arXiv2102.03806OpenAlexW3127488578MaRDI QIDQ2227084
Johann Davidov, Oleg Mushkarov
Publication date: 9 February 2021
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.03806
Twistor methods in differential geometry (53C28) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Compatible almost complex structures on twistor spaces and their Gray-Hervella classes
- Compatible complex structures on twistor space
- On the curvature of Einstein-Hermitian surfaces
- Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds
- Hermitian manifolds with zero curvature
- Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kähler
- An extension of Mok's theorem on the generalized Frankel conjecture
- Curvature properties of the Chern connection of twistor spaces
- Some curvature properties of complex surfaces
- On some 4-dimensional compact Einstein almost Kähler manifolds
- Compact Hermitian manifolds of constant holomorphic sectional curvature
- A characterization of the Cartan hypersurface in a sphere
- The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature
- A local index theorem for non-Kähler manifolds
- Projective manifolds with ample tangent bundles
- Compact Kähler manifolds of positive bisectional curvature
- Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
- On complete quaternionic-Kähler manifolds
- On the Riemannian curvature of a twistor space
- The structure of nearly Kähler manifolds
- Curvature identities for Hermitian and almost Hermitian manifolds
- Einstein-like manifolds which are not Einstein
- Curvature properties of twistor spaces of quaternionic Kähler manifolds
- Hermitian structures on twistor spaces
- Selfdual Einstein metrics with torus symmetry
- Local rigidity of certain classes of almost Kähler 4-manifolds
- Twistorial examples of almost Hermitian manifolds with Hermitian Ricci tensor
- On curvature tensors of Hermitian manifolds
- Einstein condition and twistor spaces of compatible partially complex structures
- The Ledger curvature conditions and D'Atri geometry
- Local models and integrability of certain almost Kähler 4-manifolds
- On some 4-dimensional almost Kähler manifolds
- Twistor spaces, Einstein metrics and isomonodromic deformations
- Kähler curvature identities for twistor spaces
- Compact Hermitian surfaces and isotropic curvature
- On Kähler manifolds with positive orthogonal bisectional curvature
- Symplectic Calabi-Yau manifolds, minimal surfaces and the hyperbolic geometry of the conifold
- The fundamental equations of a submersion
- On almost analytic vectors in certain almost-hermitian manifolds
- Homogeneous spaces defined by Lie group automorphisms. I
- Holomorphic bisectional curvature
- Divergence-preserving geodesic symmetries
- An ansatz for almost-Kähler, Einstein 4-manifolds
- Kähler metrics of negative holomorphic bisectional curvature on Kodaira surfaces
- Sur les variétés analytiques complexes
- Twistor Spaces with Hermitian Ricci Tensor
- On Einstein Metrics on the Twistor Space of a Four‐Dimensional Riemannian Manifold
- Some Curvature Properties of Locally Conformal Kahler Manifolds
- Kählerian Twistor Spaces
- Curvature Tensors on Almost Hermitian Manifolds
- Compact four-dimensional self-dual EINSTEIN manifolds with positive scalar curvature
- On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces
- On Totally Real Bisectional Curvature
- Self-duality in four-dimensional Riemannian geometry
- The Riemannian Goldberg–Sachs Theorem
- Self-Duality and A-Manifolds
- Almost Kahler 4-manifolds with J-invariant ricci tensor and special weyl tensor
- Harmonic Almost Hermitian Structures
- Compact hyperbolic 4-manifolds of small volume
- Compact self-dual Hermitian surfaces
- On the Hermitian curvature of symplectic manifolds
- Some Implications of the Generalized Gauss-Bonnet Theorem
- Holomorphic curvatures of twistor spaces
- Integrability of Almost Kaehler Manifolds
- Harmonic Homogeneous Spaces of Lie Groups
- Riemannian geometry of contact and symplectic manifolds
- Ricci curvature, minimal volumes, and Seiberg-Witten theory
- Twistorial examples of \(*\)-Einstein manifolds
- Compact four-dimensional Einstein manifolds
This page was built for publication: Curvature properties of twistor spaces