Talk:Hilbert manifold

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I don't think we can give an inner product structure to an arbitrary Hilbert manifold structure naturally. For the inner product structure, we need a compatibility between all the coordinate charts, just like in the case of a Riemannian manifold, we need some compatibilities between the charts to get a Riemannian structure. Vipul 17:37, 23 June 2007 (UTC)