On Einstein Manifolds of Positive Sectional Curvature
Differential Geometry
2007-05-23 v1
Abstract
Let (M,g) be a compact oriented Einstein 4-manifold. If M has positive intersection form and g has non-negative sectional curvature, we show that, up to rescaling and isometry, (M,g) is CP2, equipped with its standard Fubini-Study metric.
Keywords
Cite
@article{arxiv.math/9807055,
title = {On Einstein Manifolds of Positive Sectional Curvature},
author = {Matthew Gursky and Claude LeBrun},
journal= {arXiv preprint arXiv:math/9807055},
year = {2007}
}
Comments
14 pages, LaTeX2e