On 9/11/19 11:03 AM, Konrad wrote:
>
> That indeed depends on the geometry of the domain and it is not an
> obvious result. Example: Think of a 3D hyper-shell with an inner and
> outer radius. There is a one-dimensional space of non-trivial radial
> vector fields (with respect to the origin) that do not have neither a
> divergence nor a curl. Such fields are referred to as harmonic forms and
> the dimensionality of this space depends on the Betti numbers of the
> domain (buzz word is Hodge decomposition).
Ah, yes -- fun example! Thanks for the education!
W.
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