H-k metrics on the diffeomorphism group of the circle
Research output: Contribution to journal › Article
Each H-k inner product, kis an element ofN, endows the diffeomorphism group of the circle with a Riemannian structure. For kgreater than or equal to1 the Riemannian exponential map is a smooth local diffeomorphism and the length-minimizing property of geodesics holds.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal of Nonlinear Mathematical Physics|
|Publication status||Published - 2003|