On the Scalar Curvature of Complex Surfaces
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
Let (M,J) be a minimal compact complex surface of Kaehler type. It is shown that the smooth 4-manifold M admits a Riemannian metric of positive scalar curvature iff (M,J) admits a KAEHLER metric of positive scalar curvature. This extends previous results of Witten and Kronheimer.
Cite
@article{arxiv.dg-ga/9412006,
title = {On the Scalar Curvature of Complex Surfaces},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:dg-ga/9412006},
year = {2008}
}
Comments
10 pages, LaTeX, with optional \Bbb font replaceable by \bf