On the scalar curvature of complex surfaces
Copyright policy )On the scalar curvature of complex surfaces
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
- DigiZeitschriften Germany
- Stony Brook University United States
Mathematics - Differential Geometry, 510.mathematics, Differential Geometry (math.DG), Kähler metric of positive scalar curvature, Riemannian metric of positive scalar curvature, FOS: Mathematics, Global differential geometry of Hermitian and Kählerian manifolds, complex surface, Article
Mathematics - Differential Geometry, 510.mathematics, Differential Geometry (math.DG), Kähler metric of positive scalar curvature, Riemannian metric of positive scalar curvature, FOS: Mathematics, Global differential geometry of Hermitian and Kählerian manifolds, complex surface, Article
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).13 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!