Analyticity of Riemannian exponential maps on Diff()
T. Kappeler, E. Loubet, P. Topalov
Abstract
We study the exponential maps induced by Sobolev type right-invariant (weak) Riemannian metrics of order k1 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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