The vanishing of the renormalized Ricci tensor of the path space above a Ricci flat Riemannian manifold is discussed.
Connections and Curvature in the Riemannian Geometry of Configuration Spaces
β Scribed by Nicolas Privault
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 257 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
We shall establish in the context of adapted differential geometry on the path space P mo (M) a WeitzenbΓΆck formula which generalizes that in (A. B. Cruzeiro and P. Malliavin, J. Funct. Anal. 177 (2000), 219-253), without hypothesis on the Ricci tensor. The renormalized Ricci tensor will be vanished
## Abstract The structural implications arising from the observation (set forth in the preceding paper) that the charge density of a singleβstranded randomly coiling polynucleotide chain is approximately equal to that of one strand of the familiar double helix are here examined. A computational sch