Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle
Overview & Synopsis
We prove that the weak Riemannian metric induced by the fractional Sobolev norm $H^s$ on the diffeomorphisms group of the circle is geodesically complete, provided $s>3/2$.
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Document Information
| Document Title | Geodesic Completeness for Sobolev $H^{s}$-metrics on the Diffeomorphisms Group of the Circle |
|---|---|
| Author / Organization | Joachim Escher, Boris Kolev |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2014 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-132203 |
| Original Source Link | Visit Source Page on hal.science » |