30 citations · 47 across the 18 of their papers we have counts for
4 papers · 2 filters
Mean-convex horizontal mean curvature flow in the Heisenberg group
Gaia Bombardieri, Mattia Fogagnolo, Valentina Franceschi
We study the arrival time equation of the mean-convex horizontal mean curvature flow in the Heisenberg group. We prove existence of viscosity solutions when the initial set is hori…
An isoperimetric characterization of a new ADM-like mass for -asymptotically flat manifolds
Luca Benatti, Mattia Fogagnolo
We prove that the notion of mass recently introduced by Mazurowski and Yao for continuous metrics coincides with Huisken's isoperimetric mass on smooth Riemannian -manifolds wit…
Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow
Mattia Fogagnolo, Giorgio Gatti, Alessandra Pluda
We propose a notion of scalar curvature lower bounds in a three-dimensional Riemannian manifold endowed with a metric based on the monotonicity of the Hawking mass along the…
Unexpected phenomena for mean curvature functionals in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti, Simone Verzellesi
The Euclidean paradigm that spheres optimize mean curvature variational problems breaks down in the sub-Riemannian Heisenberg group: neither the Pansu sphere nor the Korányi sphere…