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arXiv · 1202.0034

Einstein Hermitian Metrics of Non Negative Sectional Curvature

Ezio Costa
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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.

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Ezio Costa. 2012-01-31. Einstein Hermitian Metrics of Non Negative Sectional Curvature. https://arxiv.org/abs/1202.0034

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