Geodesic completeness for Sobolev H
s
-metrics on the diffeomorphism group of the circle |
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| Authors: | Joachim Escher Boris Kolev |
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| Institution: | 1. Institute for Applied Mathematics, University of Hanover, 30167, Hanover, Germany
2. CNRS, Centrale Marseille, I2M,UMR 7373, Aix Marseille Université, 13453, Marseille, France
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| Abstract: | We prove that the weak Riemannian metric induced by the fractional Sobolev norm H s on the diffeomorphism group of the circle is geodesically complete, provided that s > 3/2. |
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