The Invariant Complex Structure on the Homogeneous Space Diff(S1)/Rot(S1)
Let Diff(S1) be the Frechet-Lie group of orientation preserving diffeomorphisms of the unit circle S1. Let Rot(S1) be the subgroup of metric preserving rotations. The homogeneous space M=Diff(S1)/Rot(S1) has a structure of a Frechet manifold. In this thesis, it is shown that on M there exists exactl...
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| Format: | Others |
| Language: | English en |
| Published: |
2007
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| Online Access: | http://tuprints.ulb.tu-darmstadt.de/846/1/dissertation.pdf Hofmann-Kliemt, Matthias <http://tuprints.ulb.tu-darmstadt.de/view/person/Hofmann-Kliemt=3AMatthias=3A=3A.html> : The Invariant Complex Structure on the Homogeneous Space Diff(S1)/Rot(S1). [Online-Edition] Technische Universität, Darmstadt [Ph.D. Thesis], (2007) |
| Summary: | Let Diff(S1) be the Frechet-Lie group of orientation preserving diffeomorphisms of the unit circle S1. Let Rot(S1) be the subgroup of metric preserving rotations. The homogeneous space M=Diff(S1)/Rot(S1) has a structure of a Frechet manifold. In this thesis, it is shown that on M there exists exactly one complexe structure up to sign which is invariant under the action of Diff(S1) on M. |
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