From the 1 of 3 linked papers with an AI index.
3 papers
Stability of local Riemannian Ricci curvature lower bounds
Luigi Ambrosio, Francesco Nobili, Federico Renzi +1
The paper proves that lower bounds on Ricci curvature for Riemannian manifolds remain stable under Gromov‑Hausdorff convergence, using a local analysis of weak gradients and heat‑f…
Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions
Francesco Nobili, Federico Renzi, Federico Vitillaro
We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of boun…
The superposition principle for local 1-dimensional currents
Luigi Ambrosio, Federico Renzi, Federico Vitillaro
We prove that every one-dimensional locally normal metric current, intended in the sense of U. Lang and S. Wenger, admits a nice integral representation through currents associated…