- #1
yifli
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Quoted from a book I'm reading:
if f is any function defined on a manifold M with values in Banach space, then f is differentiable if and only if it is differentiable as a map of manifolds.
what does it mean by 'differentiable as a map of manifolds'?
if f is any function defined on a manifold M with values in Banach space, then f is differentiable if and only if it is differentiable as a map of manifolds.
what does it mean by 'differentiable as a map of manifolds'?