3 papers
math.DG2025
Asymptotically non-negative Ricci curvature, elliptic Kato constant and isoperimetric inequalities
Debora Impera, Michele Rimoldi, Giona Veronelli
The ABP method for proving isoperimetric inequalities has been first employed by Cabré in , then developed by Brendle, notably in the context of non-compact Riemanni…
math.DG2025
Rigidity and non-existence results for collapsed translators
Debora Impera, Niels Martin Møller, Michele Rimoldi
We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R…
math.DG2025
Isoperimetric and Michael-Simon inequalities on manifolds with asymptotically nonnegative curvature
Debora Impera, Stefano Pigola, Michele Rimoldi +1
We establish the validity of the isoperimetric inequality (or equivalently, an Euclidean-type Sobolev inequality) on manifolds with asymptotically non-negative sectional curv…