Analyticity of Riemannian exponential maps on Diff(T)

作者：Kappeler T^*; Loubet E; Topalov P

来源：Journal of Lie Theory, 2007, 17(3): 481-503.

• group of diffeomorphisms
• Riemannian exponential map
• Camassa-Holm equation

We study the exponential maps induced by Sobolev type rightinvariant (weak) Riemannian metrics of order k >= 1 on the Lie group of smooth, orientation preserving diffeomorphisms of the circle. We prove that each of them defines an analytic Frechet chart of the identity.

• 出版日期2007
• 单位东北大学