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Geodesic and metric completeness in infinite dimensions

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Publication:676390
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DOI10.14492/hokmj/1351257804zbMath0871.58006OpenAlexW2065368516MaRDI QIDQ676390

Christopher J. Atkin

Publication date: 6 October 1997

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351257804


zbMATH Keywords

Riemannian manifoldinfinite-dimensional manifoldmetric completenessgeodesic completeness


Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)


Related Items (5)

On the Completeness of Trajectories for Some Mechanical Systems ⋮ Classification of isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type ⋮ Minimizing acceleration on the group of diffeomorphisms and its relaxation ⋮ Nonpositive curvature: A geometrical approach to Hilbert-Schmidt operators ⋮ Why Use Sobolev Metrics on the Space of Curves




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