Remarks on spectral gaps on the Riemannian path space

Shizan Fang; Bo Wu

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arXiv · 1508.07657

Remarks on spectral gaps on the Riemannian path space

Shizan Fang·Bo Wu

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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.

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Shizan Fang, Bo Wu. 2015-08-31. Remarks on spectral gaps on the Riemannian path space. https://arxiv.org/abs/1508.07657

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