Hilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry

Simple item page
dc.creatorGordina, Maria
dc.date2005-06-14
dc.date.accessioned2026-07-07T05:20:45Z
dc.date.available2026-07-07T05:20:45Z
dc.descriptionWe 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 $-\infty$.
dc.identifierhttps://arxiv.org/abs/math/0506276
dc.identifierhttp://arxiv.org/abs/math/0506276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75492
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58B20, 81R10
dc.titleHilbert-Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry
dc.typetext

Files

Collections

arXiv