  Formulae are given for $dP_t \phi$, $d^*P_t\phi$ and $\Delta P_t\phi$ for
$P_t$ the heat semigroup acting on a q-form $\phi$. The formulae are Brownian
motion expectations of $\phi$ composed with random translations determined by
Weitzenbock curvarure terms. Derivatives of the curvature are not involved.
