Primer on Riemannian geometry and stochastic analysis on path spaces
β Scribed by Driver B.K.
- Book ID
- 127397540
- Publisher
- UCSD
- Year
- 2003
- Tongue
- English
- Weight
- 599 KB
- Edition
- lecture notes, web draft
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We shall consider on a Riemannian path space P m o (M ) the Cruzeiro Malliavin's Markovian connection. The Laplace operator will be defined as the divergence of the gradient. We shall compute explicitly the associated curvature tensor. A Weitzenbo ck formula will be established. To this end, we shal
In this paper foundations are presented to a new systematic approach to analysis and geometry for an important class of infinite dimensional manifolds, namely, configuration spaces. More precisely, a differential geometry is introduced on the configuration space 1 X over a Riemannian manifold X. Thi