A rigidity theorem for Haken manifolds

DOI10.1017/S0305004100073527zbMath0852.57010MaRDI QIDQ4855323

Teruhiko Soma

Publication date: 15 December 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

hyperbolic 3-manifoldsGromov invariantHaken manifoldsGromov-Thurston rigidity theorem

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (7)

Degree one maps of Seifert manifolds and a note on Seifert volume ⋮ Cartesian powers of 3-manifolds ⋮ Virtual domination of 3‐manifolds II ⋮ Local rigidity of aspherical three-manifolds ⋮ ON STANDARD FORMS OF 1-DOMINATIONS BETWEEN KNOTS WITH SAME GROMOV VOLUMES ⋮ A criterion for homeomorphism between closed Haken manifolds ⋮ Nonzero degree maps between closed orientable three-manifolds

Cites Work

• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Homotopy equivalences of 3-manifolds with boundaries
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Virtual Fibre Groups in 3-Manifold Groups
• Degree One Maps Between Geometric 3-Manifolds
• Finitely Generated Kleinian Groups
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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