Piecewise Euclidean structures and Eberlein's Rigidity Theorem in the singular case

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dc.creatorDavis, Michael W.
dc.creatorOkun, Boris
dc.creatorZheng, Fangyang
dc.date1999-09-13
dc.date.accessioned2026-07-07T05:30:59Z
dc.date.available2026-07-07T05:30:59Z
dc.descriptionIn 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.
dc.description28 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper13.abs.html
dc.identifierhttps://arxiv.org/abs/math/9909191
dc.identifierhttp://arxiv.org/abs/math/9909191
dc.identifierGeom. Topol. 3 (1999), 303-330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79181
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57S30, 53C20
dc.titlePiecewise Euclidean structures and Eberlein's Rigidity Theorem in the singular case
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