Relative rigidity, quasiconvexity and \(C\)-complexes.

DOI10.2140/agt.2008.8.1691zbMath1179.20039arXiv0704.1922OpenAlexW2014157434MaRDI QIDQ1007163

Mahan Mitra

Publication date: 20 March 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1922

zbMATH Keywords

symmetric spacesCAT(0) spacesquasiconvex subgroupsCayley graphsquasi-isometriesflatsrelatively hyperbolic groupsrelative hyperbolicityrelative rigidity

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Differential geometry of symmetric spaces (53C35) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Controlled Floyd Separation and Non Relatively Hyperbolic Groups ⋮ Combining rational maps and Kleinian groups via orbit equivalence ⋮ Flows, fixed points and rigidity for Kleinian groups ⋮ Pattern rigidity and the Hilbert-Smith conjecture. ⋮ Height, graded relative hyperbolicity and quasiconvexity ⋮ Splittings and \(C\)-complexes. ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians ⋮ Intersection properties of stable subgroups and bounded cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-isometries preserve the geometric decomposition of Haken manifolds
• Packing subgroups in relatively hyperbolic groups.
• Cannon-Thurston maps for trees of hyperbolic metric spaces
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Height in splittings of hyperbolic groups.
• On the asymptotic geometry of Abelian-by-cyclic groups
• Automorphisms of the complex of curves
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• RELATIVELY HYPERBOLIC GROUPS
• Quasi-actions on trees II: Finite depth Bass-Serre trees
• Quasi-flats and rigidity in higher rank symmetric spaces
• Widths of Subgroups
• A topological characterisation of hyperbolic groups
• Coxeter Groups act on CAT(0) cube complexes
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Un Groupe Hyperbolique Est Déterminé Par Son Bord
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Relatively hyperbolic groups

This page was built for publication: Relative rigidity, quasiconvexity and \(C\)-complexes.