On Kähler surfaces of constant positive scalar curvature

DOI10.1007/BF02926444zbMath0815.53075MaRDI QIDQ1346082

Claude LeBrun, Santiago R. Simanca

Publication date: 29 June 1995

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

zbMATH Keywords

scalar curvatureKähler metriccomplex 2-manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Critical metrics (58E11) Compact complex surfaces (32J15)

Related Items (3)

Blowing up and desingularizing constant scalar curvature Kähler manifolds ⋮ Unnamed Item ⋮ Stability under deformations of Hermite-Einstein almost Kähler metrics

Cites Work

• Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces
• On Calabi's conjecture for complex surfaces with positive first Chern class
• Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
• The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
• On the curvature of compact Hermitian manifolds
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Linear and quasilinear elliptic equations
• Scalar-flat Kähler metrics on blown-up ruled surfaces.
• Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature
• Calabi's conjecture and some new results in algebraic geometry
• Isométries et transformations analytiques d'une variété kählérienne compacte
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