Large volume growth and finite topological type
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- by D. Ordway, B. Stephens and D. G. Yang PDF
- Proc. Amer. Math. Soc. 128 (2000), 1191-1196 Request permission
Abstract:
It is shown in this paper that a complete noncompact $n$-dimen- sional Riemannian manifold with nonnegative Ricci curvature, sectional curvature bounded from below, and large volume growth is of finite topological type provided that the volume growth rate of the complement of the cone of rays from a fixed base point is less than $2-1/n$.References
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Additional Information
- D. Ordway
- Affiliation: Department of Mathematics, Harvard University, Cambridge, Massachusetts 02139
- Email: ordway@abel.math.harvard.edu
- B. Stephens
- Email: bstephen@fas.harvard.edu
- D. G. Yang
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- Email: dgy@math.tulane.edu
- Received by editor(s): January 11, 1998
- Published electronically: December 10, 1999
- Additional Notes: This research was partially supported by NSF grant DMS97-32058.
- Communicated by: Christopher Croke
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1191-1196
- MSC (1991): Primary 53C21
- DOI: https://doi.org/10.1090/S0002-9939-99-05609-9
- MathSciNet review: 1705745