Interiors of compact contractible \(n\)-manifolds are hyperbolic \((n\geq 5)\)

DOI10.4310/jdg/1214459752zbMath0877.53030OpenAlexW1597938318WikidataQ115175996 ScholiaQ115175996MaRDI QIDQ1359238

Craig R. Guilbault, Fredric D. Ancel

Publication date: 2 December 1997

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214459752

zbMATH Keywords

Cartan-Hadamard theoremCAT(0) spacesnon-positive curvaturenegative curvaturePL-manifoldmetrically convex geodesic spaces

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (4)

Collapsibility of CAT(0) spaces ⋮ The Poincaré Conjecture and Related Statements ⋮ Poincaré conjecture and related statements ⋮ A Cheeger-type exponential bound for the number of triangulated manifolds

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