Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds

Shigeki Aida

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arXiv · 1401.6739

Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds

Shigeki Aida

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Abstract

We prove the existence of spectral gaps of Ornstein-Uhlenbeck operators on loop spaces over a class of Riemannian manifolds which include hyperbolic spaces. This is an alternative proof and an extension of a result in Chen-Li-Wu in J. Funct. Anal. 259 (2010), 1421-1442. Further, we study the asymptotic behavior of the spectral gap.

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Shigeki Aida. 2015-09-29. Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds. https://arxiv.org/abs/1401.6739

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