2017 Volume 71 Issue 1 Pages 65-84
A diffusion process associated with the real sub-Laplacian Δb, the real part of the complex Kohn-Spencer Laplacian □b, on a strictly pseudoconvex CR manifold is constructed by H. Kondo and S. Taniguchi [A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications. J. Math. Soc. Japan 69(1) (2017), 111-125]. In this paper, we investigate the diagonal short time asymptotics of the heat kernel corresponding to the diffusion process by using Watanabe's asymptotic expansion and give a representation for the asymptotic expansion of heat kernels which shows a relationship to the geometric structure.
