Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves
Differential Geometry
2007-05-23 v1 Symplectic Geometry
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).
Cite
@article{arxiv.math/0409290,
title = {Einstein Metrics, Symplectic Minimality, and Pseudo-Holomorphic Curves},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:math/0409290},
year = {2007}
}
Comments
25 pages, LaTeX2e