Preprint
Sep 2026
On Positively Curved Einstein Four-Manifolds with Euler Characteristic at Most Three
It is conjectured that a complete, orientable Einstein four-manifold with strictly positive sectional curvature must be isometric to either the round four-sphere $S^4$ or the complex projective plane $\mathbb{CP}^2$ with the Fubini--Study metric. In this paper, we confirm this conjecture when the manifold is homeomorph...
Liang Cheng
· 1 citation