Einstein four-manifolds with self-dual Weyl curvature of nonnegative determinant

Peng Wu

doi:10.1093/imrn/rnz238

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arXiv · 1903.11818

Einstein four-manifolds with self-dual Weyl curvature of nonnegative determinant

Peng Wu

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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.

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BibTeX RIS

Peng Wu. 2019-10-10. Einstein four-manifolds with self-dual Weyl curvature of nonnegative determinant. https://doi.org/10.1093/imrn%2Frnz238

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