Almost-Kähler anti-self-dual metrics

DOI10.1007/s10455-016-9497-1zbMath1345.53043arXiv1511.07656OpenAlexW2180396557WikidataQ125270739 ScholiaQ125270739MaRDI QIDQ300427

Inyoung Kim

Publication date: 28 June 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07656

zbMATH Keywords

Seiberg-Witten invariantalmost-Kähleranti-self-dual metricscalar-flat Kähler metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Applications of global analysis to structures on manifolds (57R57)

Related Items

Almost Kähler metrics and pp-wave spacetimes, Almost-Kähler anti-self-dual metrics on \(K3 \# 3 \overline{\mathbb{CP}_2}\), Product twistor spaces and Weyl geometry, A gap theorem for half-conformally flat manifolds, Einstein metrics, harmonic forms, and symplectic four-manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces
• Conformal duality and compact complex surfaces
• Stability of vector bundles and extremal metrics
• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• The classification of simply connected manifolds of positive scalar curvature
• The existence of anti-self-dual conformal structures
• On the curvature of compact Hermitian manifolds
• Yamabe invariants and \(\text{spin}^c\) structures
• The Fröhlicher spectral sequence on a twistor space
• A new method of constructing scalar-flat Kähler surfaces
• On the scalar curvature of complex surfaces
• The Seiberg-Witten invariants and symplectic forms
• Polarized 4-manifolds, extremal Kähler metrics, and Seiberg-Witten theory
• Stable and unitary vector bundles on a compact Riemann surface
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• Einstein metrics, symplectic minimality, and pseudo-holomorphic curves
• Non-minimal scalar-flat Kähler surfaces and parabolic stability
• Scalar-flat Kähler metrics on blown-up ruled surfaces.
• On the Topology of Self-Dual 4-Manifolds
• Connected sums of self-dual manifolds and deformations of singular spaces
• On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces
• Self-duality in four-dimensional Riemannian geometry
• Scalar-Flat Kaehler Surfaces of All Genera
• Corrigenda to: Introduction to Symplectic Topology
• Ricci curvature, minimal volumes, and Seiberg-Witten theory
• Some new applications of general wall crossing formula, Gompf's conjecture and its applications