Hilbert manifold

This is a variation of manifold

Definition

A Hilbert manifold is a topological space where every point has a neighbourhood homeomorphic to a particular Hilbert space. We say that the Hilbert manifold is modelled on the given Hilbert space.

Related notions

• Riemannian Hilbert manifold
• Weak Riemannian Hilbert manifold
• Banach manifold