Geodesic
Analyticity of Riemannian Exponential Maps on Diff(T)
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 481-503

Voir la notice de l'article provenant de la source Heldermann Verlag

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 Fr�chet chart of the identity.
Classification : 22E65, 58B20, 17B68
Mots-clés : Group of diffeomorphisms, Riemannian exponential map, Camassa-Holm equation 
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     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},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2007},
     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/