Betti numbers and injectivity radii
Authors:
Marc Culler and Peter B. Shalen
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
Published electronically:
June 18, 2009
MathSciNet review:
2529901
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
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-manifolds, J. Differential Geom. 43 (1996), no. 4, 738-782. 
-generator Kleinian groups, and volumes of hyperbolic 
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Additional 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
Email:
shalen@math.uic.edu
DOI:
https://doi.org/10.1090/S0002-9939-09-09966-3
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
Dedicated:
Dedicated to José María Montesinos on the occasion of his 65th birthday
Communicated by:
Daniel Ruberman
Article copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
