30 citations · 47 across the 18 of their papers we have counts for
4 papers · 1 filter
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth
Gioacchino Antonelli, Elia Bruè, Mattia Fogagnolo +1
In this paper we provide new existence results for isoperimetric sets of large volume in Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth. We find…
New Integral Estimates in Substatic Riemannian Manifolds and the Alexandrov Theorem
Mattia Fogagnolo, Andrea Pinamonti
We derive new integral estimates on substatic manifolds with boundary of horizon type, naturally arising in General Relativity. In particular, we generalize to this setting an iden…
The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis
Gioacchino Antonelli, Mattia Fogagnolo, Marco Pozzetta
In this paper we prove the existence of isoperimetric regions of any volume in Riemannian manifolds with Ricci bounded below assuming Gromov--Hausdorff asymptoticity to the suitabl…
Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
In this paper we consider Riemannian manifolds of dimension at least , with nonnegative Ricci curvature and Euclidean Volume Growth. For every open bounded subset with smooth bo…