K. D. Elworthy, Xue-Mei Li
Published 2019-11-21Version 1
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.
Journal: C. R. Acad. Sci. Paris Ser. I Math. 327 (1998), no. 1, 87-92
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