paper

A surface with discontinuous isoperimetric profile

arXiv:1803.07375

Abstract

We show that there is a complete connected 2-dimensional Riemannian manifold with discontinuous isoperimetric profile, answering a question of Nardulli and Pansu.

this paper merged with arXiv:1509.02307 and is superseded by the new version with title: A surface with discontinuous isoperimetric profile and expander manifolds

A surface with discontinuous isoperimetric profile · wovepaper