Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495419 | Journal of Functional Analysis | 2005 | 28 Pages |
Abstract
We describe the exponential map from an infinite-dimensional Lie algebra to an infinite-dimensional group of operators on a Hilbert space. Notions of differential geometry are introduced for these groups. In particular, the Ricci curvature, which is understood as the limit of the Ricci curvature of finite-dimensional groups, is calculated. We show that for some of these groups the Ricci curvature is -â.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Maria Gordina,