Bach-flat Kähler surfaces

DOI10.1007/s12220-017-9925-xzbMath1448.53053arXiv1702.03840OpenAlexW2735806996MaRDI QIDQ2187684

Claude LeBrun

Publication date: 3 June 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03840

zbMATH Keywords

scalar curvatureEinstein metricKähler metricBach tensorWeyl curvatureRiemannian 4-manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Related Items (2)

A conformally invariant Yang–Mills type energy and equation on 6-manifolds ⋮ Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds

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
• On Einstein, Hermitian 4-manifolds
• The energy of a Kähler class on admissible manifolds
• On Calabi's conjecture for complex surfaces with positive first Chern class
• Construction of Kähler surfaces with constant scalar curvature
• Stability of vector bundles and extremal metrics
• The Hodge cohomology of a conformally compact metric
• Remarques sur les variétés conformement plates
• Einstein metrics with prescribed conformal infinity on the ball
• The existence of anti-self-dual conformal structures
• On the curvature of compact Hermitian manifolds
• Kodaira dimension and the Yamabe problem
• Extremal Kähler metrics on Hirzebruch surfaces which are locally conformally equivalent to Einstein metrics
• The conjectures on conformal transformations of Riemannian manifolds
• Nondegenerate critical manifolds
• Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity
• On conformally Kähler, Einstein manifolds
• The Ambient Metric (AM-178)
• Fixed Points of Isometries
• ℋ -Space with a cosmological constant
• Scalar-flat Kähler metrics on blown-up ruled surfaces.
• The mass of an asymptotically flat manifold
• On the Topology of Self-Dual 4-Manifolds
• Calabi's conjecture and some new results in algebraic geometry
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Scalar-Flat Kaehler Surfaces of All Genera
• Extremal Kähler metrics and Hamiltonian functions II
• Inhomogeneous Einstein metrics on complex line bundles
• Einstein manifolds and extremal Kähler metrics
• Einstein Metrics on Complex Surfaces
• Vector fields and Ricci curvature
• Compact moduli spaces of del Pezzo surfaces and Kähler-Einstein metrics
• Compact four-dimensional Einstein manifolds

This page was built for publication: Bach-flat Kähler surfaces