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20112024
most citedSharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

96 citations · 386 across the 22 of their papers we have counts for

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math.MG2021★ 1 cited

Isoperimetric inequality in noncompact MCP spaces

Fabio Cavalletti, Davide Manini

We prove a sharp isoperimetric inequality for the class of metric measure spaces verifying the synthetic Ricci curvature lower bounds and having Euclidean volume growth…

math.DG2021

Geometry of Grassmannians and optimal transport of quantum states

Paolo Antonini, Fabio Cavalletti

Let be a separable Hilbert space. We prove that the Grassmannian of the finite dimensional subspaces of is an Alexandrov space…