Is their a generalisation of the Hopf–Rinow theorem to infinite dimensional manifolds (Frechet, Banach or Hilbert)?
I have actually never seen the prove of the Hopf–Rinow theorem so i don't know if their are obvious generalisations.
Is their a generalisation of the Hopf–Rinow theorem to infinite dimensional manifolds (Frechet, Banach or Hilbert)?
I have actually never seen the prove of the Hopf–Rinow theorem so i don't know if their are obvious generalisations.
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