Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds
Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds
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DOI：
10.1016/j.jfa.2019.06.006
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发表时间：
2019-09-01
影响因子：
1.7
通讯作者：
Gordina, Maria
中科院分区：
文献类型：
--
作者：
Baudoin, Fabrice;Feng, Qi;Gordina, Maria
本文证明了文[17]中首次出现的Driver分部积分公式的几个次黎曼形式。也就是说，我们的结果是一个完全测地黎曼叶理配备了一个子黎曼结构上的水平维纳测度。它还表明，水平维纳测度是准不变的适当的切线过程产生的流动的作用下。(C)2019爱思唯尔公司All rights reserved.
We prove several sub-Riemannian versions of Driver's integration by parts formula which first appeared in [17]. Namely, our results are for the horizontal Wiener measure on a totally geodesic Riemannian foliation equipped with a sub Riemannian structure. It is also shown that the horizontal Wiener measure is quasi-invariant under the action of flows generated by suitable tangent processes. (C) 2019 Elsevier Inc. All rights reserved.