Pinched self-dual Weyl curvature on Einstein four-manifolds
Differential Geometry
2025-12-02 v1
Abstract
We show that a compact oriented riemannian four-manifold with harmonic and pinched self-dual Weyl curvature is anti-self-dual if the type is nonpositive. The main part is to show that there is an almost-K\"ahler structure outside the zero set of the self-dual Weyl curvature.
Keywords
Cite
@article{arxiv.2512.00825,
title = {Pinched self-dual Weyl curvature on Einstein four-manifolds},
author = {Inyoung Kim},
journal= {arXiv preprint arXiv:2512.00825},
year = {2025}
}