Einstein Hermitian Metrics of Positive Sectional Curvature

Abstract

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.

References in corpus (1)

• Einstein Metrics on Complex Surfaces

Cited by in corpus (1)

• Einstein Hermitian Metrics of Non Negative Sectional Curvature