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math.FA2019★ 16 cited
Quantitative Obata's Theorem
Fabio Cavalletti, Andrea Mondino, Daniele Semola
We prove a quantitative version of Obata's Theorem involving the shape of functions with null mean value when compared with the cosine of distance functions from single points. The…
math.MG2019
Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces
Gioacchino Antonelli, Elia Bruè, Daniele Semola
The aim of this note is to generalize to the class of non collapsed RCD(K,N) metric measure spaces the volume bound for the effective singular strata obtained by Cheeger and Naber…