𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A probabilistic Weitzenböck formula on Riemannian path space

✍ Scribed by A. B. Cruzeiro; S. Fang; P. Malliavin


Book ID
105610500
Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
995 KB
Volume
80
Category
Article
ISSN
0021-7670

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Markovian Connection, Curvature and Weit
✍ Shizan Fang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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

Plancherel Formula for Berezin Deformati
✍ Yurii A. Neretin 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 420 KB

Consider natural representations of the pseudounitary group U( p, q) in the space of holomorphic functions on the Cartan domain (Hermitian symmetric space) U( p, q)Â(U( p)\_U(q)). Berezin representations of O( p, q) are the restrictions of such representations to the subgroup O( p, q). We obtain the

Quasi-Invariance of the Wiener Measure o
✍ E.P. Hsu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 957 KB

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