A Geometric Characteristic Splitting in all Dimensions

Details A Geometric Characteristic Splitting in all Dimensions A Geometric Characteristic Splitting in all Dimensions

1998-01-06

arxiv.org/abs/math/9801015v1

Comm. Math. Helv. 75 (2000), 201-215

Mathematics

Geometric Topology

14 pages

Scientific paper

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.

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