Abstract
Let (M4, g,ω) be a compact, almost-Kähler–Einstein manifold of negative star-scalar curvature. Then (M,ω) is a minimal symplectic 4-manifold of general type. In particular, M cannot be differentiably decomposed as a connected sum \(N\,{\#}\,\overline{\mathbb{CP}}_2\).
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Mathematics Subject Classifications (2000): 53C25, 53C15.
Supported in part by NSF grant DMS-0305865.
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Lebrun, C. Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves. Ann Glob Anal Geom 28, 157–177 (2005). https://doi.org/10.1007/s10455-005-3892-5
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DOI: https://doi.org/10.1007/s10455-005-3892-5