A surface with discontinuous isoperimetric profile and expander manifolds

We construct sequences of ‘expander manifolds’ and we use them to show that there is a complete connected 2-dimensional Riemannian manifold with discontinuous isoperimetric profile, answering a question of Nardulli and Pansu. Using expander manifolds in dimension 3 we show that for any ǫ, M >...

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Bibliographic Details
Main Authors: Papazoglou, P, Swenson, E
Format: Journal article
Language:English
Published: Springer Verlag 2019