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math.GT2002
Fundamental Groups of Blow-ups
M. Davis, T. Januszkiewicz, R. Scott
Many examples of nonpositively curved closed manifolds arise as blow-ups of projective hyperplane arrangements. If the hyperplane arrangement is associated to a finite reflection g…
math.GT1999
Piecewise Euclidean structures and Eberlein's Rigidity Theorem in the singular case
Michael W. Davis, Boris Okun, Fangyang Zheng
In this article, we generalize Eberlein's Rigidity Theorem to the singular case, namely, one of the spaces is only assumed to be a CAT(0) topological manifold. As a corollary, we g…