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math.DG2015★ 7 cited
A discontinuous isoperimetric profile for a complete Riemannian manifold
Stefano Nardulli, Pierre Pansu
The first known example of a complete Riemannian manifold whose isoperimetric profile is discontinuous is given.
math.MG2015
Generalized compactness for finite perimeter sets and applications to the isoperimetric problem
Abraham Enrique Muñoz Flores, Stefano Nardulli
For a complete noncompact connected Riemannian manifold with bounded geometry, we prove a compactness result for sequences of finite perimeter sets with uniformly bounded volume an…