The Banach manifold structure of the space of metrics on noncompact manifolds

DOI10.1016/0926-2245(91)90024-4zbMath0782.58012OpenAlexW2068545484WikidataQ115362804 ScholiaQ115362804MaRDI QIDQ1311948

Juergen Eichhorn

Publication date: 21 January 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(91)90024-4

zbMATH Keywords

bounded geometryBanach manifoldsspace of Riemannian metricsopen manifoldsgroup of bounded diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (7)

Spaces of Riemannian metrics on open manifolds ⋮ Essential self‐adjointness of perturbed quadharmonic operators on Riemannian manifolds with an application to the separation problem ⋮ Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry ⋮ Spaces of Riemannian metrics ⋮ Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields ⋮ Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary ⋮ The Banach manifold structure of the space of metrics on noncompact manifolds

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