4 papers
math.DG2012
Semianalyticity of isoperimetric profiles
Pierre Pansu, Renata Grimaldi, Stefano Nardulli
It is shown that, in dimensions , isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic.
math.DG2012
Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds
Renata Grimaldi, Stefano Nardulli, Pierre Pansu
We show that smooth isoperimetric profiles are exceptional for real analytic Riemannian manifolds. For instance, under some extra assumption, this can happen only on topological sp…
math.DG2010
Bounded geometry, growth and topology
Renata Grimaldi, Pierre Pansu
We characterize functions which are growth types of Riemannian manifolds of bounded geometry.
math.DG2007
Calibrations and isoperimetric profiles
Renata Grimaldi, Pierre Pansu
We equip many non compact non simply connected surfaces with smooth Riemannian metrics whose isoperimetric profile is smooth, a highly non generic property. The computation of the…