Foldable cubical complexes of nonpositive curvature

Algebraic and Geometric Topology（2004）

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摘要

We study finite foldable cubical complexes of nonpositive curvature (in the sense of A.D. Alexandrov). We show that such a complex X admits a graph of spaces decomposition. It is also shown that when dim X=3, X contains a closed rank one geodesic in the 1-skeleton unless the universal cover of X is isometric to the product of two CAT(0) cubical complexes.

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关键词

rank one geodesic, cubical complex, nonpositive curvature

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