108 citations · 389 across the 75 of their papers we have counts for
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math.DG2012
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…
math.DG2012★ 3 cited
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…
math.DG2012
Volume and distance comparison theorems for sub-Riemannian manifolds
Fabrice Baudoin, Michel Bonnefont, Nicola Garofalo +1
In this paper we study global distance estimates and uniform local volume estimates in a large class of sub-Riemannian manifolds. Our main device is the generalized curvature dimen…