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A Geometric Characteristic Splitting in all Dimensions

几何拓扑 2007-05-23 v1

摘要

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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引用

@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}
}

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14 pages