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arXiv · 1707.03135

Integration by parts and quasi-invariance for the horizontal Wiener measure on a foliated compact manifold

Fabrice Baudoin·Maria Gordina·Qi Feng
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Abstract

We prove several versions of Driver's integration by parts formula for the horizontal Wiener measure on a totally geodesic Riemannian foliation and prove that the horizontal Wiener measure has a quasi-invariance property with respect to flows generated by suitable tangent processes.

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Fabrice Baudoin, Maria Gordina, Qi Feng. 2017-07-11. Integration by parts and quasi-invariance for the horizontal Wiener measure on a foliated compact manifold. https://arxiv.org/abs/1707.03135

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