Curvature-dimension and Li-Yau inequalities in sub-Riemannian geometry

Nicola Garofalo
Università degli Studi di Padova

I will present an overview of a program whose objective is developing a notion of Ricci lower bounds in sub-Riemannian geometry. I will present several results of a global nature linking curvature lower bounds to quantitative estimates of solutions of the relevant heat equation.


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