"Einstein Four-Manifolds With Self-Dual Weyl Curvature of Nonnegative Determinant"

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We prove that simply connected Einstein four-manifolds of positive scalar curvature are conformally Kähler if and only if the determinant of the self-dual Weyl curvature is positive. Click to show full abstract

We prove that simply connected Einstein four-manifolds of positive scalar curvature are conformally Kähler if and only if the determinant of the self-dual Weyl curvature is positive.

Keywords: weyl curvature; einstein four; four manifolds; self dual; dual weyl; curvature

Journal Title: International Mathematics Research Notices
Year Published: 2019

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