Quasi-isometric rigidity of piecewise geometric manifolds

zbMath1447.57023arXiv1602.02603MaRDI QIDQ3119368

Roberto Frigerio

Publication date: 11 March 2019

Full work available at URL: https://arxiv.org/abs/1602.02603

zbMATH Keywords

non-positive curvatureasymptotic conehyperbolic manifoldsrelatively hyperbolic groupJSJ decompositionprime decompositionBass-Serre tree

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Groups acting on trees (20E08)

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