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Relating exponential growth in a manifold and its fundamental group
Author(s):
Anthony
Manning
Journal:
Proc. Amer. Math. Soc.
133
(2005),
995-997.
MSC (2000):
Primary 20F69, 37D40;
Secondary 20F65, 37B40
Posted:
October 14, 2004
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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
DOI:
10.1090/S0002-9939-04-07755-X
PII:
S 0002-9939(04)07755-X
Received by editor(s):
December 10, 2003
Posted:
October 14, 2004
Communicated by:
Michael Handel
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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