Category bounds for nonnegative Ricci curvature manifolds with infinite fundamental group
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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.References
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Additional Information
- John Oprea
- Affiliation: Department of Mathematics, Cleveland State University, Cleveland, Ohio 44115
- MR Author ID: 134075
- Email: oprea@math.csuohio.edu
- Received by editor(s): June 9, 2000
- Received by editor(s) in revised form: August 24, 2000
- Published electronically: 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 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 833-839
- MSC (1991): Primary 53P99; Secondary 55P99
- DOI: https://doi.org/10.1090/S0002-9939-01-06121-4
- MathSciNet review: 1866039