Relating exponential growth in a manifold and its fundamental group
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- by Anthony Manning PDF
- Proc. Amer. Math. Soc. 133 (2005), 995-997 Request permission
Abstract:
We relate the growth rate of volume in the universal cover of a compact Riemannian manifold to the growth in the fundamental group in terms of word length in a given set of generators and the length of geodesics representing these generators.References
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Additional Information
- Anthony Manning
- Affiliation: Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom
- Email: akm@maths.warwick.ac.uk
- Received by editor(s): December 10, 2003
- Published electronically: October 14, 2004
- Communicated by: Michael Handel
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 995-997
- MSC (2000): Primary 20F69, 37D40; Secondary 20F65, 37B40
- DOI: https://doi.org/10.1090/S0002-9939-04-07755-X
- MathSciNet review: 2117199