Open Access
February 2015 On Ricci curvature and volume growth in dimension three
Martin Reiris
J. Differential Geom. 99(2): 313-357 (February 2015). DOI: 10.4310/jdg/1421415565


We prove that any complete metric on $\mathbb{R}^3$ minus an open ball, with non-negative Ricci curvature and quadratic Ricci-curvature decay, has cubic volume growth.


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Martin Reiris. "On Ricci curvature and volume growth in dimension three." J. Differential Geom. 99 (2) 313 - 357, February 2015.


Published: February 2015
First available in Project Euclid: 16 January 2015

zbMATH: 1318.53028
MathSciNet: MR3302042
Digital Object Identifier: 10.4310/jdg/1421415565

Rights: Copyright © 2015 Lehigh University

Vol.99 • No. 2 • February 2015
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