关于黎曼道路空间谱间隙的注记
Remarks on spectral gaps on the Riemannian path space
摘要：
在本文中，我们将给出黎曼道路空间上Ornstein-Uhlenbeck算子的谱间隙与基流形上的里奇曲率的上下上界之间的联系，这项工作是由A. Naber关于用道路空间的分析刻画里奇曲率的界的一个结果。
英文摘要：
In this paper, we will give some remarks on links between the spectral gap of the Ornstein-Uhlenbeck operator on the Riemannian path space with lower and upper bounds of the Ricci curvature on the base manifold; this work was motivated by a recent work of A. Naber on the characterization of the bound of the Ricci curvature by analysis of path spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
