Einstein Manifolds, Self-Dual Weyl Curvature, and Conformally Kaehler Geometry
Differential Geometry
2019-09-24 v2
Abstract
Peng Wu recently announced a beautiful characterization of conformally Kaehler, Einstein metrics of positive scalar curvature on compact oriented 4-manifolds via the condition det (W^+) > 0. In this note, we buttress his claim by providing an entirely different proof of his result. We then present further consequences of our method, which builds on techniques previously developed in (LeBrun 2015).
Keywords
Cite
@article{arxiv.1908.01881,
title = {Einstein Manifolds, Self-Dual Weyl Curvature, and Conformally Kaehler Geometry},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:1908.01881},
year = {2019}
}
Comments
17 pages, LaTeX2e. Version 2 corrects various minor typos, and slightly alters the title of the article