Completeness properties of Sobolev metrics on the space of curves

Author:

Bruveris Martins,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Earth and Planetary Sciences,General Environmental Science,Applied Mathematics,Control and Optimization,Geometry and Topology,Mechanics of Materials

Reference48 articles.

1. Sobolev Spaces,;R. A. Adams;2nd edition,2003

2. Compact embeddings of vector-valued Sobolev and Besov spaces,;H. Amann;Dedicated to the memory of Branko Najman,2000

3. Sobolev metrics on shape space, II: Weighted Sobolev metrics and almost local metrics,;M. Bauer;J. Geom. Mech.,2012

4. Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation,;M. Bauer;Ann. Global Anal. Geom.,2012

5. Constructing reparameterization invariant metrics on spaces of plane curves,;M. Bauer;Differential Geom. Appl.,2014

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