Topological geodesics and virtual rigidity

DOI10.2140/agt.2001.1.369zbMath0978.57003arXivmath/0106163OpenAlexW3099229899MaRDI QIDQ5934077

Luois Funar, Siddhartha Gadgil

Publication date: 18 June 2001

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

Full work available at URL: https://arxiv.org/abs/math/0106163

zbMATH Keywords

residually finiteuniversal covervirtual rigidityword-hyperbolic group

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3. (Fox-residually nilpotent knots and virtual rigidity of hyperbolic 3-manifolds)
• Homotopy hyperbolic 3-manifolds are hyperbolic
• Compactifying coverings of 3-manifolds
• Transformations of finite period. 3. Newman's theorem
• SOME EXAMPLES OF EXOTIC NON-COMPACT 3-MANIFOLDS
• Immersions and Embeddings of Totally Geodesic Surfaces
• The Boundary of Negatively Curved Groups
• Homotopy Hyperbolic 3-Manifolds are Virtually Hyperbolic
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES
• Semihyperbolic Groups
• On the geometric and topological rigidity of hyperbolic 3-manifolds

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