# Analyticity of Riemannian exponential maps on Diff(T)

Kappeler, T; Loubet, E; Topalov, P (2007). Analyticity of Riemannian exponential maps on Diff(T). Journal of Lie Theory, 17(3):481-503.

## Abstract

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.

## Abstract

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.

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### Citations

5 citations in Web of Science®
5 citations in Scopus®
5 citations in Microsoft Academic

62 downloads since deposited on 10 Apr 2009
Other titles: Analyticity of Riemannian exponential maps on ${\rm Diff}(\T)$ Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics Physical Sciences > Algebra and Number Theory English 2007 10 Apr 2009 12:43 06 May 2020 21:05 Heldermann Verlag 0949-5932 Green http://www.heldermann.de/JLT/JLT17/JLT173/jlt17025.htm http://www.ams.org/mathscinet-getitem?mr=2351995http://arxiv.org/abs/math/0610211