5 citations · 9 across the 6 of their papers we have counts for
7 papers
The Null Energy Condition through the Lens of Optimal Transport: Smooth and Non-Smooth Spacetimes
Fabio Cavalletti, Davide Manini, Andrea Mondino
We survey recent developments on the null energy condition (NEC) from the perspective of optimal transport, with emphasis on non-smooth Lorentzian geometry. After recalling the rol…
On the geometry of synthetic null hypersurfaces
Fabio Cavalletti, Davide Manini, Andrea Mondino
This paper develops a synthetic framework for the geometric and analytic study of null (lightlike) hypersurfaces in non-smooth spacetimes. Drawing from optimal transport and recent…
Optimal transport on null hypersurfaces and the null energy condition
Fabio Cavalletti, Davide Manini, Andrea Mondino
The goal of the present work is to study optimal transport on null hypersurfaces inside Lorentzian manifolds. The challenge here is that optimal transport along a null hypersurface…
Isoperimetric inequality for Finsler manifolds with non-negative Ricci curvature
Davide Manini
We prove a sharp isoperimetric inequality for measured Finsler manifolds having non-negative Ricci curvature and Euclidean volume growth. We also prove a rigidity result for this i…
Rigidities of Isoperimetric inequality under nonnegative Ricci curvature
Fabio Cavalletti, Davide Manini
The sharp isoperimetric inequality for non-compact Riemannian manifolds with non-negative Ricci curvature and Euclidean volume growth has been obtained in increasing generality wit…
Isoperimetric inequality in noncompact MCP spaces
Fabio Cavalletti, Davide Manini
We prove a sharp isoperimetric inequality for the class of metric measure spaces verifying the synthetic Ricci curvature lower bounds and having Euclidean volume growth…
Sliding mode control for a generalization of the Caginalp phase-field system
Pierluigi Colli, Davide Manini
In the present paper, we present and solve the sliding mode control (SMC) problem for a second-order generalization of the Caginalp phase-field system. This generalization, inspire…