The Hopf-Rinow theorem in infinite dimension

DOI10.4310/jdg/1214434494zbMath0393.58004OpenAlexW1502786272WikidataQ115189504 ScholiaQ115189504MaRDI QIDQ1252550

Ivar Ekeland

Publication date: 1978

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214434494

zbMATH Keywords

GeodesicHopf-Rinow Theorem in Infinite DimensionInfinite-Dimensional Riemannian Manifold

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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