On the Scalar Curvature of Complex Surfaces

Details On the Scalar Curvature of Complex Surfaces On the Scalar Curvature of Complex Surfaces

1994-12-27

arxiv.org/abs/dg-ga/9412006v1

Mathematics

Differential Geometry

10 pages, LaTeX, with optional \Bbb font replaceable by \bf

Scientific paper

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.

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