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Relating exponential growth in a manifold and its fundamental group
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Manning, Anthony (2005) Relating exponential growth in a manifold and its fundamental group. Proceedings of the American Mathematical Society, Vol.133 (No.4). pp. 995-997. doi:10.1090/S0002-9939-04-07755-X ISSN 0002-9939.
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Official URL: http://www.jstor.org/stable/4097657
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0002-9939 | ||||
Official Date: | 2005 | ||||
Dates: |
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Volume: | Vol.133 | ||||
Number: | No.4 | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 995-997 | ||||
DOI: | 10.1090/S0002-9939-04-07755-X | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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