Einstein Hermitian Metrics of Non Negative Sectional Curvature

Ezio Costa

Einstein Hermitian Metrics of Non Negative Sectional Curvature

Differential Geometry 2012-02-02 v1

Authors: Ezio Costa

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.

Keywords

Einstein metric Hermitian manifold sectional curvature complex projective space Fubini-Study metric 4-manifold isometry

Cite

@article{arxiv.1202.0034,
  title  = {Einstein Hermitian Metrics of Non Negative Sectional Curvature},
  author = {Ezio Costa},
  journal= {arXiv preprint arXiv:1202.0034},
  year   = {2012}
}

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