Geodesic
Analyticity of Riemannian Exponential Maps on Diff(T)
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 481-503
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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.
Classification : 22E65, 58B20, 17B68
Mots-clés : Group of diffeomorphisms, Riemannian exponential map, Camassa-Holm equation 
@article{JLT_2007_17_3_JLT_2007_17_3_a2,
     author = {T. Kappeler and E. Loubet and P. Topalov},
     title = {Analyticity of {Riemannian} {Exponential} {Maps} on {Diff(T)}},
     journal = {Journal of Lie theory},
     pages = {481--503},
     year = {2007},
     volume = {17},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a2/}
}
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T. Kappeler; E. Loubet; P. Topalov. Analyticity of Riemannian Exponential Maps on Diff(T). Journal of Lie theory, Tome 17 (2007) no. 3, pp. 481-503. http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a2/