Volume growth of submanifolds and the Cheeger Isoperimetric Constant
Differential Geometry
2012-04-13 v2
Abstract
We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above .
Keywords
Cite
@article{arxiv.1104.5625,
title = {Volume growth of submanifolds and the Cheeger Isoperimetric Constant},
author = {Vicent Gimeno and Vicente Palmer},
journal= {arXiv preprint arXiv:1104.5625},
year = {2012}
}
Comments
11 pages