CORDIS Project
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This project investigates the relationship between measures and metrics in understanding the curvature of high-dimensional spaces. It aims to enhance the study of isoperimetric and concentration properties in convex domains by integrating Riemannian structures, potentially impacting various fields such as probability a…
In recent years, the importance of superimposing the contribution of the measure to that of the metric, in determining the underlying space's (generalized Ricci) curvature, has been clarified in the works of Lott, Sturm, Villani and others, following the definition of Curvature-Dimension introduced by Bakry and Emery.
We wish to systematically incorporate this important idea of considering the measure and metric in tandem, in the study of questions pertaining to isoperimetric and concentration p…
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