Abstract
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.
Citation
Martin Reiris. "On Ricci curvature and volume growth in dimension three." J. Differential Geom. 99 (2) 313 - 357, February 2015. https://doi.org/10.4310/jdg/1421415565
Information
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
