Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

Author:

Bauer Martin,Bruveris Martins,Harms Philipp,Michor Peter W.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Cited by 25 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Completeness and Geodesic Distance Properties for Fractional Sobolev Metrics on Spaces of Immersed Curves;The Journal of Geometric Analysis;2024-05-03

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3. On the Michor–Mumford phenomenon in the infinite dimensional Heisenberg group;Revista Matemática Complutense;2022-05-16

4. Can we run to infinity? The diameter of the diffeomorphism group with respect to right-invariant Sobolev metrics;Calculus of Variations and Partial Differential Equations;2021-02-10

5. Fractional Sobolev metrics on spaces of immersions;Calculus of Variations and Partial Differential Equations;2020-03-04

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