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
On Einstein Metrics on the Twistor Space of a Four-Dimensional Riemannian Manifold
โ Scribed by T. H. Friedrich; R. Grunewald
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 275 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0025-584X
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## By THOMAS FRIEDRICH of Berlin (Eingegangen am 9.9. 1980) Let M\* he a cony'act RIEMANNian spin inanifold with positive scalar curvature H and let R, denote its minimum. Consider the DIRAC operator D : r ( S ) + r ( S ) acting on sections of the associated spinor bundle S. If I.\* is the first p