Einstein metrics, symplectic minimality, and pseudo-holomorphic curves

DOI10.1007/s10455-005-3892-5zbMath1082.53042arXivmath/0409290OpenAlexW2016529824MaRDI QIDQ2573742

Claude LeBrun

Publication date: 24 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0409290

zbMATH Keywords

Einstein manifoldsymplectic manifoldpseudo-holomorphic curve

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (3)

Almost-Kähler anti-self-dual metrics ⋮ Weyl curvature, del Pezzo surfaces, and almost-Kähler geometry ⋮ Edges, orbifolds, and Seiberg-Witten theory

Cites Work

• Blow ups and symplectic embeddings in dimension 4
• Calibrated geometries
• Pseudo holomorphic curves in symplectic manifolds
• On some compact Einstein almost Kähler manifolds
• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• Yamabe constants and the perturbed Seiberg-Witten equations
• Local models and integrability of certain almost Kähler 4-manifolds
• Monopoles and four-manifolds
• The Seiberg-Witten invariants and symplectic forms
• On some 4-dimensional almost Kähler manifolds
• More constraints on symplectic forms from Seiberg-Witten invariants
• The Seiberg-Witten and Gromov invariants
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• Four-manifolds without Einstein metrics
• An ansatz for almost-Kähler, Einstein 4-manifolds
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• Calabi's conjecture and some new results in algebraic geometry
• Corrigenda to: Introduction to Symplectic Topology
• Integrability of Almost Kaehler Manifolds
• Ricci curvature, minimal volumes, and Seiberg-Witten theory
• On some four-dimensional almost Kähler Einstein manifolds
• Compact four-dimensional Einstein manifolds
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