Heat kernel estimate in a conical singular space

Xiaoqi Huang, Junyong Zhang

Let $(X,g)$ be a product cone with the metric $g=d{r}^2+r^{2}h$, where $X=C(Y)=(0,\infty {)}_r\times Y$ and the cross section $Y$ is a $(n-1)$-dimensional closed Riemannian manifold $(Y,h…