Volume collapsed three-manifolds with a lower curvature bound
Differential Geometry
2007-05-23 v3 Geometric Topology
Abstract
In this paper we determine the topology of three-dimensional complete orientable Riemannian manifolds with a uniform lower bound of sectional curvature whose volume is sufficiently small.
Cite
@article{arxiv.math/0304472,
title = {Volume collapsed three-manifolds with a lower curvature bound},
author = {Takashi Shioya and Takao Yamaguchi},
journal= {arXiv preprint arXiv:math/0304472},
year = {2007}
}
Comments
24 pages, 4 EPS figures