Einstein Metrics, Complex Surfaces, and Symplectic 4-Manifolds
Differential Geometry
2017-05-24 v2 Algebraic Geometry
Abstract
Which smooth compact 4-manifolds admit an Einstein metric with non-negative Einstein constant? A complete answer is provided in the special case of 4-manifolds that also happen to admit either a complex structure or a symplectic structure.
Cite
@article{arxiv.0803.3743,
title = {Einstein Metrics, Complex Surfaces, and Symplectic 4-Manifolds},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:0803.3743},
year = {2017}
}
Comments
12 pages, LaTeX2e. Final version, to appear in Math. Proc. Camb. Phil. Soc. (Preliminary version appeared in informal lecture-note volume in honor of Fujiki's 60th birthday.)