Título: Regularity of solutions of the isoperimetric problem that are
close to a smooth manifold.

Palestrante: Stefano Nardulli - UFABC.

Data, horário e local: 02/10/2018 - 13h, sala S - 204-0 do Bloco A

Resumo: In this work we consider a question in the calculus of
variations motivated by riemannian geometry, the isoperimetric problem.
We show that solutions to the isoperimetric problem, close in the flat
norm to a smooth submanifold, are themselves smooth and C2,α-close to
the given sub manifold. We show also a version with variable metric on
the manifold. The techniques used are, among other, the standards outils
of linear elliptic analysis and comparison theorems of riemannian
geometry, Allard's regularity theorem for minimizing varifolds, the
isometric immersion theorem of Nash and a parametric version due to
Gromov.