On the Scalar Curvature of Complex Surfaces
Abstract
Description
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.
10 pages, LaTeX, with optional \Bbb font replaceable by \bf
10 pages, LaTeX, with optional \Bbb font replaceable by \bf