Analyticity of Riemannian exponential maps on ${\rm Diff}(\T)$

Kappeler, T.; Loubet, E.; Topalov, P.

Analyticity of Riemannian exponential maps on ${\rm Diff}(\T)$

Authors

Kappeler, T.

Loubet, E.

Topalov, P.

Description

We study the exponential maps induced by Sobolev type right-invariant (weak) Riemannian metrics of order $k\ge1$ on the Lie group of smooth, orientation preserving diffeomorphisms of the circle. We prove that each of them defines an {\em analytic} Fréchet chart of the identity.