A Geometric Characteristic Splitting in all Dimensions
Geometric Topology
2007-05-23 v1
Abstract
We prove the existence of a geometric characteristic submanifold for non-positively curved manifolds of any dimension greater than or equal to three. In dimension three, our result is a geometric version of the topological characteristic submanifold theorem due to Jaco, Shalen and Johannson.
Cite
@article{arxiv.math/9801015,
title = {A Geometric Characteristic Splitting in all Dimensions},
author = {Bernhard Leeb and Peter Scott},
journal= {arXiv preprint arXiv:math/9801015},
year = {2007}
}
Comments
14 pages