Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three
Differential Geometry
2020-09-10 v2
Abstract
In this note we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a -dimensional Riemannian manifold assuming only upper bounds for the Ricci curvature.
Cite
@article{arxiv.2001.02549,
title = {Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three},
author = {Vicent Gimeno},
journal= {arXiv preprint arXiv:2001.02549},
year = {2020}
}
Comments
Accepted in Bulletin of the London Mathematical Society