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
Asymptotic behavior of the divergence on loop spaces over a compact Riemannian manifold
β Scribed by Li Xiangdong
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 172 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1001-6538
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