H-k metrics on the diffeomorphism group of the circle
Research output: Contribution to journal › Article
Abstract
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.
Details
| Authors | |
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| Organisations | |
| Research areas and keywords | Subject classification (UKÄ) – MANDATORY
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| Original language | English |
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| Pages (from-to) | 424-430 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 10 |
| Issue number | 4 |
| Publication status | Published - 2003 |
| Publication category | Research |
| Peer-reviewed | Yes |
