Restrictions on collapsing with a lower sectional curvature bound
Differential Geometry
2007-05-23 v1 Metric Geometry
Abstract
We obtain new topological information about the local structure of collapsing under a lower sectional curvature bound. As an application we prove a new sphere theorem and obtain a partial result towards the conjecture that not every Alexandrov space can be obtained as a limit of a sequence of Riemannian manifolds with sectional curvature bounded from below.
Keywords
Cite
@article{arxiv.math/0110087,
title = {Restrictions on collapsing with a lower sectional curvature bound},
author = {Vitali Kapovitch},
journal= {arXiv preprint arXiv:math/0110087},
year = {2007}
}