Proceedings of Gökova Geometry-Topology Conference 2006
Title
Deformations of scalar-flat anti-self-dual metrics and
quotients of Enriques surfaces
Author
Mustafa Kalafat
Abstract
In this article, we prove that a quotient of a K3 surface by a
free action does not admit any metric
of positive scalar curvature. This shows that the scalar flat anti
self-dual metrics (SF-ASD) on this manifold can not be obtained from
a family of metrics for which the scalar curvature changes sign,
contrary to the previously known constructions of this kind of
metrics on manifolds of b+=0.
action does not admit any metric
of positive scalar curvature. This shows that the scalar flat anti
self-dual metrics (SF-ASD) on this manifold can not be obtained from
a family of metrics for which the scalar curvature changes sign,
contrary to the previously known constructions of this kind of
metrics on manifolds of b+=0.