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Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves

Claude LeBrun
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Abstract

Let (M, g, omega) be a compact, almost-Kaehler Einstein 4-manifold of negative star-scalar curvature. Then (M, omega) is a MINIMAL symplectic 4-manifold of general type. In particular, M cannot be differentiably decomposed as a connected sum N # (-CP_2).

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Claude LeBrun. 2004-09-16. Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves. https://arxiv.org/abs/math/0409290

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