108 citations · 233 across the 20 of their papers we have counts for
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The subelliptic heat kernel on the three dimensional solvable Lie groups
Fabrice Baudoin, Matthew Cecil
We study the subelliptic heat kernels of the CR three dimensional solvable Lie groups. We first classify all left-invariant sub-Riemannian structures on three dimensional solvable…
Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds
Fabrice Baudoin, Jing Wang
We study curvature dimension inequalities for the sub-Laplacian on contact Riemannian manifolds. This new curvature dimension condition is then used to obtain: 1) Geometric conditi…
A note on lower bounds estimates for the Neumann eigenvalues of manifolds with positive Ricci curvature
Fabrice Baudoin, Alice Vatamanelu
We study new heat kernel estimates for the Neumann heat kernel on a compact manifold with positive Ricci curvature and convex boundary. As a consequence, we obtain new lower bounds…
Perelman's entropy and doubling property on Riemannian manifolds
Fabrice Baudoin, Nicola Garofalo
The purpose of this work is to study some monotone functionals of the heat kernel on a complete Riemannian manifold with nonnegative Ricci curvature. In particular, we show that on…
Generalized Bochner formulas and Ricci lower bounds for sub-Riemannian manifolds of rank two
Fabrice Baudoin, Nicola Garofalo
We study a new class of rank two sub-Riemannian manifolds encompassing Riemannian manifolds, CR manifolds with vanishing Webster-Tanaka torsion, orthonormal bundles over Riemannian…