Manifolds with positive curvature operators are space forms
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
We confirm a conjecture of Hamilton: On compact manifolds the normalized Ricci flow evolves metrics with positive curvature operators to limit metrics with constant curvature.
Cite
@article{arxiv.math/0606187,
title = {Manifolds with positive curvature operators are space forms},
author = {Christoph Boehm and Burkhard Wilking},
journal= {arXiv preprint arXiv:math/0606187},
year = {2007}
}