Einstein four-manifolds with self-dual Weyl curvature of nonnegative determinant
Differential Geometry
2019-10-11 v2
Abstract
We prove that simply connected Einstein four-manifolds of positive scalar curvature are conformally K\"ahler if and only if the determinant of the self-dual Weyl curvature is positive.
Keywords
Cite
@article{arxiv.1903.11818,
title = {Einstein four-manifolds with self-dual Weyl curvature of nonnegative determinant},
author = {Peng Wu},
journal= {arXiv preprint arXiv:1903.11818},
year = {2019}
}