Fabrice Baudoin

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20182026

most citedGeometric Inequalities on Riemannian and sub-Riemannian manifolds by heat semigroups techniques

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math.DG2026

Asymptotic mean value Laplacian on equiregular sub-Riemannian manifolds

Fabrice Baudoin, Jonathan Junné, David Tewodrose

Let $(M, D, g)$ be a smooth equiregular sub-Riemannian manifold equipped with a smooth positive measure $μ$ . We study the small-scale limit of the metric-ball mean-value op…

math.DG2026

Sub-Riemannian Selberg Trace Formulae for Compact Quotients of SL(2,R) and Determinants of Sub-Laplacians

Fabrice Baudoin

We prove sub-Riemannian Selberg trace formulae for compact quotients of SL(2,R). Using the Fourier decomposition along the SO(2)-fibers, we reduce the heat trace computation to the…