4 papers · 1 filter
Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms
Davide Carazzato, Giulio Pascale, Marco Pozzetta
We study quantitative isoperimetric inequalities for two different perimeter-type functionals. We first consider classical capillarity functionals, which measure the perimeter of s…
A sharp spectral splitting theorem
Gioacchino Antonelli, Marco Pozzetta, Kai Xu
We prove a sharp spectral generalization of the Cheeger--Gromoll splitting theorem. We show that if a complete non-compact Riemannian manifold of dimension has at lea…
Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola
Let be a complete Riemannian manifold which is not isometric to , has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature…
Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature
Gioacchino Antonelli, Mattia Fogagnolo, Stefano Nardulli +1
This paper deals with quasi-local isoperimetric versions of the positive mass theorem on -manifolds endowed with continuous complete metrics having nonnegative scalar curvature…