Data di Pubblicazione:
2019
Citazione:
Isoperimetric inequality under Measure-Contraction property / F. Cavalletti, F. Santarcangelo. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 277:9(2019 Nov 01), pp. 2893-2917. [10.1016/j.jfa.2019.06.016]
Abstract:
We prove that if ( X, d, m) is an essentially non-branching metric measure space with m(X)=1, having Ricci curvature bounded from below by K and dimension bounded above by N ∈(1,∞) , understood as a synthetic condition called Measure-Contraction property, then a sharp isoperimetric inequality à la Lévy-Gromov holds true. Measure theoretic rigidity is also obtained.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Optimal transport; Ricci curvature; Measure-Contraction property; Isoperimetric inequality;
Elenco autori:
F. Cavalletti, F. Santarcangelo
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