Kappeler, T; Loubet, E; Topalov, P (2007). Analyticity of Riemannian exponential maps on Diff(T). Journal of Lie Theory, 17(3):481-503.
We study the exponential maps induced by Sobolev type right-invariant (weak) Riemannian metrics of order k (greater or equal to 1) on the Lie group of smooth, orientation preserving diffeomorphisms of the circle. We prove that each of them defines an analytic Fréchet chart of the identity.
We study the exponential maps induced by Sobolev type right-invariant (weak) Riemannian metrics of order k (greater or equal to 1) on the Lie group of smooth, orientation preserving diffeomorphisms of the circle. We prove that each of them defines an analytic Fréchet chart of the identity.
| Other titles: | Analyticity of Riemannian exponential maps on ${\rm Diff}(\T)$ |
|---|---|
| Item Type: | Journal Article, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | 2007 |
| Deposited On: | 10 Apr 2009 12:43 |
| Last Modified: | 23 Jan 2022 13:58 |
| Publisher: | Heldermann Verlag |
| ISSN: | 0949-5932 |
| OA Status: | Green |
| Official URL: | http://www.heldermann.de/JLT/JLT17/JLT173/jlt17025.htm |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2351995 http://arxiv.org/abs/math/0610211 |
Kappeler, T