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On Ricci curvature and volume growth in dimension three

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Reiris,  Martin
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1212.1317.pdf
(Preprint), 488KB

1421415565.pdf
(Any fulltext), 514KB

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Citation

Reiris, M. (2015). On Ricci curvature and volume growth in dimension three. Journal of differential geometry, 99 (2), 313-357. Retrieved from http://arxiv.org/abs/1212.1317.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0025-0263-3
Abstract
We prove that any complete metric on R^3 minus a ball with non-negative Ricci curvature and quadratic Ricci-curvature decay, has cubic volume growth.