Open Access
Translator Disclaimer
2017 Remarks on spectral gaps on the Riemannian path space
Shizan Fang, Bo Wu
Electron. Commun. Probab. 22: 1-13 (2017). DOI: 10.1214/17-ECP51

Abstract

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.

Citation

Download Citation

Shizan Fang. Bo Wu. "Remarks on spectral gaps on the Riemannian path space." Electron. Commun. Probab. 22 1 - 13, 2017. https://doi.org/10.1214/17-ECP51

Information

Received: 10 March 2016; Accepted: 27 February 2017; Published: 2017
First available in Project Euclid: 14 March 2017

zbMATH: 1365.58019
MathSciNet: MR3627008
Digital Object Identifier: 10.1214/17-ECP51

Subjects:
Primary: 58J60, 60H07, 60J60

JOURNAL ARTICLE
13 PAGES


SHARE
Back to Top