The metric completion of the space of vector-valued one-forms
Author:
Funder
Deutsche Forschungsgemeinschaft
National Institute on Alcohol Abuse and Alcoholism
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s10455-023-09916-x.pdf
Reference19 articles.
1. Bauer, M., Klassen, E., Preston, S.C., Su, Z.: A diffeomorphism-invariant metric on the space of vector-valued one-forms. Pure Appl. Math. Q. 17(1), 141–183 (2021)
2. Eliashberg, Y., Polterovich, L.: Bi-invariant metrics on the group of Hamiltonian diffeomorphisms. Int. J. Math 4(5), 727–738 (1993)
3. Michor, P.W., Mumford, D.: Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Doc. Math. 10, 217–245 (2005)
4. Bauer, M., Bruveris, M., Harms, P., Michor, P.W.: Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Ann. Glob. Anal. Geom. 44(1), 5–21 (2013)
5. Bauer, M., Harms, P., Preston, S.C.: Vanishing distance phenomena and the geometric approach to SQG. Arch. Ration. Mech. Anal. 235(3), 1445–1466 (2020)
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