Wu, Peng Einstein four-manifolds with self-dual Weyl curvature of nonnegative determinant. (English) Zbl 1473.53072 Int. Math. Res. Not. 2021, No. 2, 1043-1054 (2021). Summary: 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. Cited in 1 ReviewCited in 2 Documents MSC: 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 32Q20 Kähler-Einstein manifolds Keywords:conformally Kähler; K3 surface; Calabi-Yau metric PDFBibTeX XMLCite \textit{P. Wu}, Int. Math. Res. Not. 2021, No. 2, 1043--1054 (2021; Zbl 1473.53072) Full Text: DOI arXiv