Einstein Hermitian metrics of positive sectional curvature

Koca, Caner

doi:10.1090/S0002-9939-2014-11929-0

Einstein Hermitian metrics of positive sectional curvature

Author: Caner Koca
Journal: Proc. Amer. Math. Soc. 142 (2014), 2119-2122
MSC (2010): Primary 53C25, 53C55
DOI: https://doi.org/10.1090/S0002-9939-2014-11929-0
Published electronically: March 11, 2014
MathSciNet review: 3182029
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Abstract: It is shown that, up to scaling and isometry, the only complete 4-manifold with an Einstein metric of positive sectional curvature which is also Hermitian with respect to some complex structure is the complex projective plane $\mathbb{CP}_2$ , equipped with its Fubini-Study metric.

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