Einstein Metrics, Conformal Curvature, and Anti-Holomorphic Involutions

2 Jul 2020 · Claude LeBrun ·

Building on previous results, we complete the classification of compact oriented Einstein 4-manifolds with det (W^+) > 0. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.