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The base space of a strongly parabolic Riemannian manifold

โœ Scribed by V. G. Ushakov


Publisher
Springer US
Year
1994
Tongue
English
Weight
548 KB
Volume
69
Category
Article
ISSN
1573-8795

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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