Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s10455-012-9353-x.pdf
Reference28 articles.
1. Arnold V.I.: Sur la géometrie différentielle des groupes de lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Ann. Inst. Fourier 16, 319–361 (1966)
2. Bauer M., Harms P., Michor P.W.: Sobolev metrics on shape space of surfaces. J. Geom. Mech. 3(4), 389–438 (2011)
3. Bauer M., Bruveris M., Harms P., Michor P.W.: Vanishing geodesic distance for the riemannian metric with geodesic equation the KdV-equation. Ann. Glob. Anal. Geom. 41(4), 461–472 (2012)
4. Constantin A., Kolev B.: Geodesic flow on the diffeomorphism group of the circle. Comment. Math. Helv. 78(4), 787–804 (2003)
5. Constantin A., Kappeler T., Kolev B., Topalov P.: On geodesic exponential maps of the Virasoro group. Ann. Glob. Anal. Geom. 31(2), 155–180 (2007)
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