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A Poincare inequality on loop spaces
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Chen, Xin, Li, X-M. and Wu, Bo (2010) A Poincare inequality on loop spaces. Journal of Functional Analysis, Vol.259 (No.6). pp. 1421-1442. doi:10.1016/j.jfa.2010.05.006 ISSN 0022-1236.
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Official URL: http://dx.doi.org/10.1016/j.jfa.2010.05.006
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. (C) 2010 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Functional Analysis | ||||
Publisher: | Academic Press | ||||
ISSN: | 0022-1236 | ||||
Official Date: | 15 September 2010 | ||||
Dates: |
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Volume: | Vol.259 | ||||
Number: | No.6 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 1421-1442 | ||||
DOI: | 10.1016/j.jfa.2010.05.006 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/E058124/1 (EPSRC) |
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