Classification of manifolds with weakly 1/4-pinched curvatures
Differential Geometry
2008-07-18 v3
Abstract
We show that a compact Riemannian manifold with weakly 1/4-pinched sectional curvatures is either locally symmetric or diffeomorphic to a space form.
Cite
@article{arxiv.0705.3963,
title = {Classification of manifolds with weakly 1/4-pinched curvatures},
author = {S. Brendle and R. M. Schoen},
journal= {arXiv preprint arXiv:0705.3963},
year = {2008}
}
Comments
Final version