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Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds

In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry. We investigate the dilation type inequality as an isoperimetric type inequality by introducing the dilation profile and estimate...

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Autore principale: Tsuji Hiroshi
Natura: Artigo
Lingua:Inglês
Pubblicazione: De Gruyter 2021-12-01
Serie:Analysis and Geometry in Metric Spaces
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Accesso online:https://doi.org/10.1515/agms-2020-0128
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