Cheeger constants of surfaces and isoperimetric inequalities

We show that the Cheeger constant of compact surfaces is bounded by a function of the area. We apply this to isoperimetric profiles of bounded genus non-compact surfaces, to show that if their isoperimetric profile grows faster than $\sqrt t$, then it grows at least as fast as a linear function. Thi...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur: Papasoglu, P
Fformat: Journal article
Iaith:English
Cyhoeddwyd: 2007