Which Ambient Spaces Admit Isoperimetric Inequalities for Submanifolds?
arXiv:0804.4012
Abstract
We give simple conditions on an ambient manifold that are necessary and sufficient for isoperimetric inequalities (for submanifolds) to hold.
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)