On Ricci curvature and volume growth in dimension three
Differential Geometry
2012-12-07 v1
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.
Keywords
Cite
@article{arxiv.1212.1317,
title = {On Ricci curvature and volume growth in dimension three},
author = {Martin Reiris},
journal= {arXiv preprint arXiv:1212.1317},
year = {2012}
}
Comments
38 pages; 4 figures