Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves

Details Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves

2004-09-16

arxiv.org/abs/math/0409290v1

Mathematics

Differential Geometry

25 pages, LaTeX2e

Scientific paper

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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