Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions

We prove existence of isoperimetric regions for every volume in non-compact Riemannian n-manifolds (M, g), n ≥ 2, having Ricci curvature Ricg ≥ (n -1) κ0g and being C0-locally asymptotic to the simply connected space form of constant sectional curvature κ0 ≤ 0; moreover in case κ0=0 we show that the...

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Bibliografski detalji
Glavni autori: Mondino, A, Nardulli, S
Format: Journal article
Jezik:English
Izdano: International Press 2016