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math.MG2019
Liouville theorems for ancient caloric functions via optimal growth conditions
Sunra Mosconi
We provide some Liouville theorems for ancient nonnegative solutions of the heat equation on a complete non-compact Riemannian manifold with Ricci curvature bounded from below. We…
math.MG2012
The Abresch-Gromoll inequality in a non-smooth setting
Nicola Gigli, Sunra Mosconi
We prove that the Abresch-Gromoll inequality holds on infinitesimally Hilbertian CD(K,N) spaces in the same form as the one available on smooth Riemannian manifolds.