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Primer on Riemannian geometry and stochastic analysis on path spaces

✍ Scribed by Driver B.K.


Book ID
127397540
Publisher
UCSD
Year
2003
Tongue
English
Weight
599 KB
Edition
lecture notes, web draft
Category
Library

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πŸ“œ SIMILAR VOLUMES


Markovian Connection, Curvature and Weit
✍ Shizan Fang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 212 KB

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

Analysis and Geometry on Configuration S
✍ S Albeverio; Yu.G Kondratiev; M RΓΆckner πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 612 KB

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