Title of article
A Poincaré inequality on loop spaces
Author/Authors
Xin Chen، نويسنده , , Xuemei Li، نويسنده , , Bo Wu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
22
From page
1421
To page
1442
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.
© 2010 Elsevier Inc. All rights reserved.
Keywords
Path space , Brownian bridge measure , Malliavin calculus , Poincaré inequalities , Loop space
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840269
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