Self-Dual Manifolds with Positive Ricci Curvature

نویسندگان

  • Claude LeBrun
  • Takashi Nitta
چکیده

We prove that the connected sums CP2#CP2 and CP2#CP2#CP2 admit self-dual metrics with positive Ricci curvature. Moreover, every self-dual metric of positive scalar curvature on CP2#CP2 is conformal to a metric with positive Ricci curvature. ∗Supported in part by NSF grant DMS-9204093

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تاریخ انتشار 1994