Einstein Hermitian Metrics of Non Negative Sectional Curvature

Abstract

We prove that a simpy connected Hermitian Einstein 4-manifold with non-negative sectional curvature is isometric to complex projective space $\mathbb{C}{\mathbb{P}}^2$ with the Fubini-Study metric or isometric to the product ${\mathbb{S}}^2\times {\mathbb{S}}^2$ with the canonical metric.

References in corpus (1)

• Einstein Hermitian Metrics of Positive Sectional Curvature