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Foldable cubical complexes of nonpositive curvature

Xiangdong Xie
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Abstract

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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Xiangdong Xie. 2004-09-05. Foldable cubical complexes of nonpositive curvature. https://doi.org/10.2140/agt.2004.4.603

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