Bismut type formulae for differential forms
Probability
2019-12-04 v1
Abstract
Formulae are given for , and for the heat semigroup acting on a q-form . The formulae are Brownian motion expectations of composed with random translations determined by Weitzenbock curvarure terms. Derivatives of the curvature are not involved.
Cite
@article{arxiv.1911.10938,
title = {Bismut type formulae for differential forms},
author = {K. D. Elworthy and Xue-Mei Li},
journal= {arXiv preprint arXiv:1911.10938},
year = {2019}
}