Which Ambient Spaces Admit Isoperimetric Inequalities for Submanifolds?
Differential Geometry
2010-06-04 v4
Abstract
We give simple conditions on an ambient manifold that are necessary and sufficient for isoperimetric inequalities (for submanifolds) to hold.
Cite
@article{arxiv.0804.4012,
title = {Which Ambient Spaces Admit Isoperimetric Inequalities for Submanifolds?},
author = {Brian White},
journal= {arXiv preprint arXiv:0804.4012},
year = {2010}
}
Comments
13 pages. Minor revisions made September 6, 2008 (some typos corrected, terminology changed slightly.) Three typos corrected on October 11, 2008. On Dec 16, a few further minor changes. In particular, an open problem added (2.8)