Proof of a weak hyperbolization theorem

Authors
Citation
Ga. Swarup, Proof of a weak hyperbolization theorem, Q J MATH, 51, 2000, pp. 529-533
Citations number
13
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
4
Pages
529 - 533
Database
ISI
SICI code
0033-5606(200012)51:<529:POAWHT>2.0.ZU;2-#
Abstract
We sketch a new proof of a consequence of Thurston's Uniformization Theorem which asserts that atoroidal Haken 3-manifolds have word hyperbolic fundam ental groups. The proof uses the Combination Theorem of Bestvina and Feighn [1], a new quasiconvexity criterion and standard 3-manifold techniques.