2 papers
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
Dimension-independent estimates for heat operators and harmonic functions
Brian C. Hall, Matthew Cecil
We establish dimension-independent estimates related to heat operators e^{tL} on manifolds. We first develop a very general contractivity result for Markov kernels which can be app…