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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117860We 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.Dynamical SystemsAnalysis of PDEsAnalyticity of Riemannian exponential maps on ${\rm Diff}(\T)$text