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Self-Dual Manifolds with Positive Ricci Curvature

Claude LeBrun·Shin Nayatani·Takashi Nitta
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Abstract

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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Claude LeBrun, Shin Nayatani, Takashi Nitta. 1994-11-04. Self-Dual Manifolds with Positive Ricci Curvature. https://arxiv.org/abs/dg-ga/9411001

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