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
✦ LIBER ✦
A note on the conformal quasi-invariance of the Laplacian on a pseudo-Riemannian manifold
✍ Scribed by Bent Ørsted
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 154 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0377-9017
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