Metric Spaces of Non-Positive Curvature

1999/01/01 by Martin R. Bridson, André Haefliger · 41 citations
Computer Science · Engineering · Mathematics · #Computer science #Curvature #Digital Image Processing Techniques #Engineering #Geometric and Algebraic Topology #Geometry #Mathematics #Mathematics and Applications #Metric (unit) #Operations management #Pure mathematics

paper · doi:10.1007/978-3-662-12494-9

crossref issued 1999/01/01 · crossref published 1999/01/01 · crossref published-print 1999/01/01 · openalex publication_date 1999/01/01 · crossref created 2013/02/16 · crossref deposited 2023/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02 · crossref indexed 2026/08/05

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• CAT(0) spaces quasi-isometric to Euclidean spaces
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Linear embeddings of contractible and collapsible complexes
• Computing JSJ decompositions of hyperbolic groups
• On the CAT(0) dimension of 2–dimensional Bestvina–Brady groups
• The Farrell–Jones conjecture for hyperbolic and CAT(0)-groups revisited
• On purely loxodromic actions
• The Geometry of Outer Automorphism Groups of Universal Right-Angled Coxeter Groups
• Harmonic functions on hyperbolic graphs
• Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls
• Geometric generators for braid-like groups
• Hyperbolic geometry of complex networks
• Limit sets for modules over groups onCAT(0) spaces: from the Euclidean to the hyperbolic
• The Combinatorial Topology of Groups
• Finiteness and CAT(0) properties of diagram groups
• Lipschitz regularity of harmonic map heat flows from RCD spaces into CAT(0) spaces
• A Course in Metric Geometry
• Homotopy and Homology at Infinity and at the Boundary
• Hyperbolicity of Semigroup Algebras
• Quasigeodesic flows and sphere-filling curves
• Sharp uncertainty principles on Riemannian manifolds: the influence of curvature
• Sequential ends of metric spaces
• JSJ-Decompositions of finitely presented groups and complexes of groups
• Asymptotic cones of finitely presented groups
• Higher connectedness of asymptotic cones
• Geometric inflexibility and 3-manifolds that fiber over the circle
• Random Heegaard splittings
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Convex projective structures on Gromov–Thurston manifolds
• WeightedL2–cohomology of Coxeter groups
• Automorphisms of 2–dimensional right-angled Artin groups
• Cubulating malnormal amalgams
• Finiteness properties of cubulated groups
• On the horoboundary and the geometry of rays of negatively curved manifolds
• Acylindrically hyperbolic groups
• The isomorphism problem for all hyperbolic groups
• A Course on Geometric Group Theory
• Hopf–Rinow theorem [wikipedia]
• Hyperbolic group [wikipedia]
• Orbifold [wikipedia]
• Shing-Tung Yau [wikipedia]