- Title
- Combinatorial conditions that imply word-hyperbolicity for 3-manifolds
- Creator
- Elder, Murray; McCammond, Jon; Meier, John
- Relation
- Topology Vol. 42, Issue 6, p. 1241-1259
- Publisher Link
- http://dx.doi.org/10.1016/S0040-9383(02)00100-3
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2003
- Description
- Thurston conjectured that a closed triangulated 3-manifold in which every edge has degree 5 or 6, and no two edges of degree 5 lie in a common 2-cell, has word-hyperbolic fundamental group. We establish Thurston's conjecture by proving that such a manifold admits a piecewise Euclidean metric of non-positive curvature and the universal cover contains no isometrically embedded flat planes. The proof involves a mixture of computer computation and techniques from small cancellation theory.
- Subject
- three-manifolds; word-hyperbolic; non-positive curvature; CAT(0)
- Identifier
- http://hdl.handle.net/1959.13/930971
- Identifier
- uon:10972
- Identifier
- ISSN:0040-9383
- Language
- eng
- Full Text
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