Betti numbers and injectivity radii
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- by Marc Culler and Peter B. Shalen
- Proc. Amer. Math. Soc. 137 (2009), 3919-3922
- DOI: https://doi.org/10.1090/S0002-9939-09-09966-3
- Published electronically: June 18, 2009
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Abstract:
We give lower bounds on the maximal injectivity radius for a closed hyperbolic 3-manifold with first Betti number 2 under some additional topological hypotheses.References
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Bibliographic Information
- Marc Culler
- Affiliation: Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan Street, Chicago, Illinois 60607-7045
- Email: culler@math.uic.edu
- Peter B. Shalen
- Affiliation: Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan Street, Chicago, Illinois 60607-7045
- MR Author ID: 159535
- Email: shalen@math.uic.edu
- Received by editor(s): February 12, 2009
- Published electronically: June 18, 2009
- Additional Notes: This work was partially supported by NSF grants DMS-0504975 and DMS-0608567
- Communicated by: Daniel Ruberman
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3919-3922
- MSC (2000): Primary 57M50; Secondary 57N10
- DOI: https://doi.org/10.1090/S0002-9939-09-09966-3
- MathSciNet review: 2529901
Dedicated: Dedicated to José María Montesinos on the occasion of his 65th birthday