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Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group
Author(s):
John
Oprea
Journal:
Proc. Amer. Math. Soc.
130
(2002),
833-839.
MSC (1991):
Primary 53P99;
Secondary 55P99
Posted:
June 21, 2001
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Abstract:
This brief note presents refinements of the bounds on the first Betti number and the polynomial growth degree of the fundamental group for manifolds with nonnegative Ricci curvature and infinite fundamental group. These refinements are then sharpened when applied to symplectic manifolds.
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Additional Information:
John
Oprea
Affiliation:
Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115
Email:
oprea@math.csuohio.edu
DOI:
10.1090/S0002-9939-01-06121-4
PII:
S 0002-9939(01)06121-4
Received by editor(s):
June 9, 2000
Received by editor(s) in revised form:
August 24, 2000
Posted:
June 21, 2001
Additional Notes:
I wish to thank Mladen Bestvina for helpful emails pointing out several relevant results in [Gro]
Communicated by:
Wolfgang Ziller
Copyright of article:
Copyright
2001,
American Mathematical Society
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