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

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

2006-10-06

arxiv.org/abs/math/0610211v1

Mathematics

Dynamical Systems

Scientific paper

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} Fr\'echet chart of the identity.

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