A Geometric Characteristic Splitting in all Dimensions

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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.
14 pages

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Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/76458

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9801015
 http://arxiv.org/abs/math/9801015
 Comm. Math. Helv. 75 (2000), 201-215

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arXiv