Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591961 | Journal of Functional Analysis | 2010 | 22 Pages |
Abstract
We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap. The Laplacian is defined using the Levi-Civita connection, the Brownian bridge measure and the standard Bismut tangent spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory