Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

We prove that if (X, d, m) is a metric measure space with m(X) = 1 having (in a synthetic sense) Ricci curvature bounded from below by K> 0 and dimension bounded above by N∈ [1 , ∞) , then the classic Lévy-Gromov isoperimetric inequality (together with the recent sharpening counterparts prove...

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Príomhchruthaitheoirí: Cavalletti, F, Mondino, A
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Springer 2016