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

DOI10.1016/j.jfa.2005.05.011zbMath1078.22015arXivmath/0506276OpenAlexW2056629060WikidataQ125350863 ScholiaQ125350863MaRDI QIDQ2573421

Maria Gordina

Publication date: 22 November 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506276

zbMATH Keywords

Hilbert spaceRicci curvatureexponential mapHilbert-Schmidt operatorsLie groups and Lie algebras

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (7)

The Gaussian Radon transform as a limit of spherical transforms ⋮ Riemannian geometry of \(\text{Diff}(S^{1})/S^{1}\) ⋮ A Brownian motion on the diffeomorphism group of the circle ⋮ Möbius transformations and the configuration space of a Hilbert snake ⋮ The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin ⋮ Half-Lie groups ⋮ Heat kernel analysis on infinite-dimensional Heisenberg groups

Cites Work

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