On Kähler geometry of infinite-dimensional complex manifolds \(\operatorname{Diff}_+(S^1)/S^1\) and \(\operatorname{Diff}_+(S^1)/\text{Möb}(S^1)\)
DOI10.1134/S199508021909018XzbMath1431.58003OpenAlexW2977391303MaRDI QIDQ2287671
Publication date: 21 January 2020
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s199508021909018x
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25)
Cites Work
- Diff(S\({}^ 1)\) and the Teichmüller spaces
- Kähler geometry of loop spaces
- Coadjoint orbits of the Virasoro group
- Kähler structures on K-orbits of the group of diffeomorphisms of the circle
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- Sur le groupe des difféomorphismes du tore
- The Ricci curvature of Diff S1/SL(2, R)
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