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arxiv: dg-ga/9411001 · v1 · submitted 1994-11-04 · dg-ga · math.DG

Self-Dual Manifolds with Positive Ricci Curvature

Claude LeBrun , Shin Nayatani , Takashi Nitta This is my paper
classification dg-ga math.DG
keywords curvaturepositivericciself-dualmetricadmitconformalconnected
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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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