Metrics of positive Ricci curvature on vector bundles over nilmanifolds
Differential Geometry
2007-05-23 v1
Abstract
We construct metrics of positive Ricci curvature on some vector bundles over tori (or more generally, over nilmanifolds). This gives rise to the first examples of manifolds with positive Ricci curvature which are homotopy equivalent but not homeomorphic to manifolds of nonnegative sectional curvature.
Keywords
Cite
@article{arxiv.math/0101106,
title = {Metrics of positive Ricci curvature on vector bundles over nilmanifolds},
author = {Igor Belegradek and Guofang Wei},
journal= {arXiv preprint arXiv:math/0101106},
year = {2007}
}
Comments
14 pages