On the fundamental group of complete manifolds with almost Euclidean volume growth
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- by Jianming Wan PDF
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Abstract:
It is proved that the fundamental group of a complete Riemannian manifold with nonnegative Ricci curvature and certain volume growth conditions is trivial or finite.References
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Additional Information
- Jianming Wan
- Affiliation: School of Mathematics, Northwest University, Xi’an 710127, People’s Republic of China
- MR Author ID: 897308
- Email: wanj_m@aliyun.com
- Received by editor(s): November 13, 2018
- Received by editor(s) in revised form: January 26, 2019, January 31, 2019, and February 1, 2019
- Published electronically: June 10, 2019
- Communicated by: Guofang Wei
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 4493-4498
- MSC (2010): Primary 53C20
- DOI: https://doi.org/10.1090/proc/14571
- MathSciNet review: 4002558