Einstein Metrics, Conformal Curvature, and Anti-Holomorphic Involutions
Differential Geometry
2020-07-03 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2007.01180,
title = {Einstein Metrics, Conformal Curvature, and Anti-Holomorphic Involutions},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:2007.01180},
year = {2020}
}
Comments
22 pages, LaTeX2e