Conformal duality and compact complex surfaces

DOI10.1007/BF01457232zbMath0571.32017OpenAlexW1988143916MaRDI QIDQ1061910

Charles P. Boyer

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164115

zbMATH Keywords

Kähler metricanti-self-dual metricclassification of compact complex surfaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15)

Related Items

Almost-Hermitian geometry ⋮ Almost-Kähler anti-self-dual metrics ⋮ Twistor Spaces with Meromorphic Functions ⋮ Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures ⋮ On the spectral rigidity of Hopf manifolds ⋮ Instanton solutions from Abelian sinh-Gordon and Tzitzeica vortices ⋮ Compatible complex structures on twistor space ⋮ On a question of Vaisman concerning complex surfaces ⋮ Orthogonal almost-complex structures of minimal energy ⋮ Applications harmoniques stables dans $P^n$ ⋮ Compact self-dual Hermitian surfaces ⋮ Compact Hermitian surfaces of constant antiholomorphic sectional curvatures ⋮ A smörgåsbord of scalar-flat Kähler ALE surfaces ⋮ Locally conformally symplectic and Kähler geometry ⋮ Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces ⋮ Uniformization of conformally flat hermitian surfaces ⋮ On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces ⋮ Orthogonal complex structures on domains in \(\mathbb R^4\) ⋮ Weakly-Einstein Hermitian surfaces ⋮ Unnamed Item ⋮ Non-Abelian vortices on Riemann surfaces: An integrable case ⋮ Hyper-Hermitian metrics with symmetry ⋮ Non-minimal scalar-flat Kähler surfaces and parabolic stability ⋮ The Sasaki join and admissible Kähler constructions ⋮ The Einstein-Maxwell equations, Kähler metrics, and Hermitian geometry ⋮ Anti-self-dual Hermitian metrics on blown-up Hopf surfaces ⋮ Moduli of half conformally flat structures ⋮ The Gibbons-Hawking ansatz in generalized Kähler geometry

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