RC-positivity and scalar-flat metrics on ruled surfaces
From MaRDI portal
Publication:2126094
DOI10.1007/s00209-021-02934-0zbMath1487.32138OpenAlexW4205828588MaRDI QIDQ2126094
Publication date: 14 April 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-021-02934-0
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Compact Kähler manifolds: generalizations, classification (32J27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extremal Kähler metrics on projective bundles over a curve
- Instantons and curves on class VII surfaces
- Scalar-flat closed manifolds not admitting positive scalar curvature metrics
- Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces
- Blowing up Kähler manifolds with constant scalar curvature. II.
- On Calabi's conjecture for complex surfaces with positive first Chern class
- On the existence of special metrics in complex geometry
- A characterization of ample vector bundles on a curve
- Blowing up and desingularizing constant scalar curvature Kähler manifolds
- K-stability of constant scalar curvature Kähler manifolds
- Geometry of Kähler metrics and foliations by holomorphic discs
- Stability of vector bundles and extremal metrics
- On the curvature of compact Hermitian manifolds
- Annulation de la cohomologie à valeurs dans un fibre vectoriel holomorphe positif de rang quelconque
- The Kähler cone of a surface
- Extremal Kähler metrics and complex deformation theory
- Kähler-Einstein metrics with positive scalar curvature
- Algebraic surfaces and holomorphic vector bundles
- Class VII\(_0\) surfaces with \(b_2\) curves.
- Scalar curvature and projective embeddings. I
- Constant Hermitian scalar curvature equations on ruled manifolds.
- RC-positivity, rational connectedness and Yau's conjecture
- Semistable bundles over an elliptic curve
- An obstruction to the existence of Einstein Kaehler metrics
- Scalar curvature and uniruledness on projective manifolds
- The Monge-Ampère equation for non-integrable almost complex structures
- Kähler metrics of constant scalar curvature on bundles over \({\mathbb{C}}{\mathbb{P}}_{n-1}\)
- Levi-Civita Ricci-flat metrics on compact complex manifolds
- An obstruction to the existence of constant scalar curvature Kähler metrics
- The pseudo-effective cone of a non-Kählerian surface and applications
- Unstable products of smooth curves
- Non-minimal scalar-flat Kähler surfaces and parabolic stability
- The Chern–Ricci flow on complex surfaces
- Ricci curvatures on Hermitian manifolds
- The complex Monge-Ampère equation on compact Hermitian manifolds
- Vector Bundles Over an Elliptic Curve
- Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
- Scalar-flat Kähler metrics on blown-up ruled surfaces.
- On the Topology of Self-Dual 4-Manifolds
- Seminar on Differential Geometry. (AM-102)
- Remarks on extremal Kähler metrics on ruled manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Fibrés hermitiens à endomorphisme de Ricci non négatif
- Scalar curvature on compact complex manifolds
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- RC-POSITIVITY, VANISHING THEOREMS AND RIGIDITY OF HOLOMORPHIC MAPS
- Kähler-Einstein metrics
- A partial converse to the Andreotti–Grauert theorem
- On surfaces of class VII with numerically anticanonical divisor
- A REMARK ON KÄHLER METRICS OF CONSTANT SCALAR CURVATURE ON RULED COMPLEX SURFACES
- On Self-Intersection Number of a Section on a Ruled Surface
This page was built for publication: RC-positivity and scalar-flat metrics on ruled surfaces