The Topology of Open Manifolds with Nonnegative Ricci Curvature
Differential Geometry
2008-09-09 v2
Abstract
We survey all results concerning the topology of complete noncompact Riemannian manifolds with nonnegative Ricci curvature that have no additional conditions other than restrictions to the dimension, volume growth or diameter growth of the manifold. We will also present relevant examples and list open problems.
Keywords
Cite
@article{arxiv.math/0606774,
title = {The Topology of Open Manifolds with Nonnegative Ricci Curvature},
author = {Zhongmin Shen and Christina Sormani},
journal= {arXiv preprint arXiv:math/0606774},
year = {2008}
}
Comments
survey article, 30 pages, 12 figures, (v2: change in the construction of the dyadic solenoid complement, other minor adjustments and typos corrected)