Self-Dual Manifolds with Positive Ricci Curvature

Details Self-Dual Manifolds with Positive Ricci Curvature Self-Dual Manifolds with Positive Ricci Curvature

1994-11-04

arxiv.org/abs/dg-ga/9411001v1

Mathematics

Differential Geometry

17 pages, LaTeX

Scientific paper

We prove that the connected sums CP_2 # CP_2 and CP_2 # CP_2 # CP_2 admit
self-dual metrics with positive Ricci curvature. Moreover, every self-dual
metric of positive scalar curvature on CP_2 # CP_2 is conformal to a metric
with positive Ricci curvature.

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