Geodesic completeness of the $$H^{3/2}$$ metric on $$\mathrm {Diff}(S^{1})$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00605-020-01405-8.pdf
Reference26 articles.
1. Arnold, V.I.: Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Ann. Inst. Fourier (Grenoble) 16(fasc. 1), 319–361 (1966)
2. Bauer, M., Escher, J., Kolev, B.: Local and Global Well-posedness of the fractional order EPDiff equation on $${R}^d$$. J. Differ. Equ. 258(6), 2010–2053 (2015)
3. Bauer, M., Harms, P., Michor, P.W.: Sobolev metrics on the manifold of all Riemannian metrics. J. Differ. Geom. 94(2), 187–208 (2013)
4. Bauer, M., Kolev, B., Preston, S.C.: Geometric investigations of a vorticity model equation. J. Differ. Equ. 260(1), 478–516 (2016)
5. Bruveris, M., Vialard, F.-X.: On completeness of groups of diffeomorphisms. J. Eur. Math. Soc. (JEMS) 19(5), 1507–1544 (2017)
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