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
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
Journal title :
Journal of Functional Analysis
