Manifolds with Quadratic Curvature Decay and Slow Volume Growth
Differential Geometry
2007-05-23 v1
Abstract
We show that there are topological obstructions for a noncompact manifold to admit a Riemannian metric with quadratic curvature decay and a volume growth which is slower than that of Euclidean space of the same dimension.
Keywords
Cite
@article{arxiv.math/9809097,
title = {Manifolds with Quadratic Curvature Decay and Slow Volume Growth},
author = {John Lott and Zhongmin Shen},
journal= {arXiv preprint arXiv:math/9809097},
year = {2007}
}
Comments
18 pages