论文标题

在riemannian歧管上的Hermitian束中随机平行传输的功能分析结构

A functional-analytic construction of the stochastic parallel transport in Hermitian bundles over Riemannian manifolds

论文作者

Mustăţea, Alexandru

论文摘要

本文介绍了纯粹的分析结构,该结构是在riemannian歧管上的Hermitian束中随机平行运输的概念。作为副产品,我们还获得了矢量束中Feynman-kac公式的一种形式,据我们所知,这是迄今为止发现的最一般的。

This article presents a purely functional-analytic construction of the concept of stochastic parallel transport in Hermitian bundles over Riemannian manifolds. As a byproduct, we also obtain a form of the Feynman-Kac formula in vector bundles that is, to our best knowledge, the most general found so far.

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