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Growth of fundamental groups and isoembolic volume and diameter
Author(s):
Oguz
C.
Durumeric
Journal:
Proc. Amer. Math. Soc.
130
(2002),
585-590.
MSC (2000):
Primary 53C20, 53C23
Posted:
June 8, 2001
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Abstract:
Some properties of fundamental groups of Riemannian manifolds  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  and yields bounds on the number of generators of  in terms of some isoembolic geometric invariants of  .
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Additional Information:
Oguz
C.
Durumeric
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
Email:
odurumer@blue.weeg.uiowa.edu
DOI:
10.1090/S0002-9939-01-06106-8
PII:
S 0002-9939(01)06106-8
Keywords:
Isoembolic,
fundamental group
Received by editor(s):
July 31, 2000
Posted:
June 8, 2001
Communicated by:
Wolfgang Ziller
Copyright of article:
Copyright
2001,
American Mathematical Society
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