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- W2951864501 abstract "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 get that any compact irreducible but locally reducible locally symmetric space of noncompact type does not admit a nonpositively curved (in the Aleksandrov sense) piecewise Euclidean structure. Any hyperbolic manifold, on the other hand, does admit such a structure." @default.
- W2951864501 created "2019-06-27" @default.
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- W2951864501 date "1999-09-13" @default.
- W2951864501 modified "2023-09-27" @default.
- W2951864501 title "Piecewise Euclidean structures and Eberlein's Rigidity Theorem in the singular case" @default.
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