Andrea Mondino

activity

20102026

most citedRiemannian Ricci curvature lower bounds in metric measure spaces with

σ

-finite measure

206 citations · 1.5k across the 62 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.MG2019★ 46 cited

On the topology and the boundary of N-dimensional RCD(K,N) spaces

Vitali Kapovitch, Andrea Mondino

We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the literature. We also intro…

math.DG2019★ 22 cited

Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy

Andrea Mondino, Christian Scharrer

We prove existence and regularity of minimisers for the Canham-Helfrich energy in the class of weak (possibly branched and bubbled) immersions of the $2$ -sphere. This solves (the s…

math.FA2019★ 16 cited

Sharp Cheeger-Buser type inequalities in $RCD (K, \infty)$ spaces

Nicolò De Ponti, Andrea Mondino

The goal of the paper is to sharpen and generalise bounds involving the Cheeger's isoperimetric constant $h$ and the first eigenvalue $λ_{1}$ of the Laplacian. A celebrated lower b…

On the topology and the boundary of N-dimensional RCD(K,N) spaces

Existence and Regularity of Spheres Minimising the Canham-Helfrich Energy

Sharp Cheeger-Buser type inequalities in RCD(K,∞) spaces

Sharp Cheeger-Buser type inequalities in $RCD (K, \infty)$ spaces