๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Towards a Riemannian Geometry on the Path Space over a Riemannian Manifold

โœ Scribed by O. Enchev; D.W. Stroock


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
669 KB
Volume
134
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Quasi-Invariance of the Wiener Measure o
โœ E.P. Hsu ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 957 KB

We study a quasi-invariance property of the Wiener measure on the path space over a compact Riemannian manifold which generalizes the well-known CameronMartin theorem for euclidean space. This property is used to prove an integration by parts formula for the gradient operator. We use the integration

The Log-Sobolev Inequality on Loop Space
โœ Fu-Zhou Gong; Zhi-Ming Ma ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 371 KB

We obtain a log-Sobolev inequality with a neat and explicit potential for the gradient on a based loop space over a compact Riemannian manifold. The potential term relies only on the curvature of the manifold and the Hessian of the heat kernel, and is L p -integrable for all p 1. The log-Sobolev ine