Einstein Hermitian Metrics of Non Negative Sectional Curvature

Details Einstein Hermitian Metrics of Non Negative Sectional Curvature Einstein Hermitian Metrics of Non Negative Sectional Curvature

2012-01-31

arxiv.org/abs/1202.0034v1

Mathematics

Differential Geometry

Scientific paper

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.

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