Metrics \(\mathcal H_s\) and behaviours as \(s\downarrow \frac {1} {2}\) on loop groups

DOI10.1016/j.jfa.2003.07.006zbMath1069.58007OpenAlexW2052426415WikidataQ124820433 ScholiaQ124820433MaRDI QIDQ1883598

Shizan Fang

Publication date: 13 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.07.006

zbMATH Keywords

free loop groupsRicci tensorGaussian measure

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (1)

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

Cites Work

• Unnamed Item
• The geometry of loop groups
• De Rham-Hodge-Kodaira operator on loop groups
• Integration by parts and quasi-invariance for heat kernel measures on loop groups
• Integration by parts formula and logarithmic Sobolev inequality on the path space over loop groups
• Logarithmic Sobolev inequalities for pinned loop groups
• Logarithmic Sobolev inequality on free loop groups for heat kernel measures associated with the general Sobolev spaces

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