A surface with discontinuous isoperimetric profile

2018/03/20 by Panos Papasoglu, Papasoglu, Panos, Eric Swenson +1
Mathematics · #05C40 #49Q20 #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:05C40 #msc:49Q20 #msc:53C20

paper · pdf · doi:10.48550/arxiv.1803.07375

this paper merged with arXiv:1509.02307 and is superseded by the new version with title: A surface with discontinuous isoperimetric profile and expander manifolds

arxiv created 2019/07/21 · arxiv updated 2019/07/23

Abstract

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

Citations

• A surface with discontinuous isoperimetric profile and expander manifolds

Cited by

• A surface with discontinuous isoperimetric profile and expander manifolds

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