Einstein Hermitian Metrics of Positive Sectional Curvature
Differential Geometry
2019-04-15 v3
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.
Keywords
Cite
@article{arxiv.1112.4181,
title = {Einstein Hermitian Metrics of Positive Sectional Curvature},
author = {Caner Koca},
journal= {arXiv preprint arXiv:1112.4181},
year = {2019}
}