Journal article
Growth of fundamental groups and isoembolic volume and diameter
Proceedings of the American Mathematical Society, Vol.130(2), pp.585-590
01/01/2002
DOI: 10.1090/S0002-9939-01-06106-8
Abstract
Some properties of fundamental groups of Riemannian manifolds M will be studied without a lower bound assumption on Ricci curvature. The main method is to relate the local packing to global packing instead of using the Bishop-Gromov relative volume comparison. This method allows us to control the volume growth of the universal cover M∼ and yields bounds on the number of generators of π1 (M) in terms of some isoembolic geometric invariants of M.
Details
- Title: Subtitle
- Growth of fundamental groups and isoembolic volume and diameter
- Creators
- Oguz C. Durumeric - University of Iowa, Mathematics
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.130(2), pp.585-590
- DOI
- 10.1090/S0002-9939-01-06106-8
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Number of pages
- 6
- Language
- English
- Date published
- 01/01/2002
- Academic Unit
- Mathematics
- Record Identifier
- 9983985860102771
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