Einstein Hermitian Metrics of Positive Sectional Curvature

Details Einstein Hermitian Metrics of Positive Sectional Curvature Einstein Hermitian Metrics of Positive Sectional Curvature

2011-12-18

arxiv.org/abs/1112.4181v1

Mathematics

Differential Geometry

Scientific paper

In this paper we will prove that the only compact 4-manifold M with an
Einstein metric of positive sectional curvature which is also hermitian with
respect to some complex structure on M, is the complex projective plane CP^2,
with its Fubini-Study metric.

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