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.
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]
Isoperimetric inequality under Measure-Contraction property
F. Cavalletti
Primo
;
2019
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1-s2.0-S0022123619302289-main.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
478.03 kB
Formato
Adobe PDF
|
478.03 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
