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A Hilbert manifold is a manifold based on a Hilbert space.

3 votes
1 answer
233 views

Does their exist something like L^2 Mapping spaces to general manifolds?

Given a compact manifold $C$ and a n-manifold $M$ we mostly work on either $C^{\infty}(C,M)$ seen as a Frechet manifold. or $H^{k}(C,M)$ seen has a Hilbert manifold when $k > n/2$. Although both s …
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1 vote
1 answer
80 views

What are examples of a second order operational tangent vector on an infinite dimensional Hi...

In the book "a convenient setting for global analysis" they describe the order of an operational tangent vector on a convenient vector space. http://www.mat.univie.ac.at/~michor/apbookh-ams.pdf Afte …
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