CORDIS Project
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This project explores sub-Riemannian geometry to develop new geometric and functional inequalities. It aims to address longstanding problems in geometric analysis and enhance understanding of structures under non-holonomic constraints, impacting various mathematical fields.
Sub-Riemannian spaces are geometrical structures that model constrained systems, and constitute a vast generalization of Riemannian geometry.
They arise in control theory, harmonic and complex analysis, subelliptic PDEs, geometric measure theory, calculus of variations, optimal transport, and potential analysis.
In the last 10 years, a surge of interest in the study of geometric and functional inequalities on sub-Riemannian spaces revealed unexpected behaviours and intriguing phenomena that fail…
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