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A geometric characteristic splitting in all dimensions

Authors
Journal
Commentarii Mathematici Helvetici
0010-2571
Publisher
European Mathematical Society Publishing House
Publication Date
Disciplines
  • Mathematics

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.

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