Generate a product of Stiefel manifolds with arbitrary number

[yuwenchen95]

Hi. I want to generate a product of Stiefel manifolds of the same dimension and the number of Stiefel manifolds can be set arbitrarily to n. I think it should use ProductManifold(M_1, M_2, ..., M_n) but have no idea how to set it with an iterator. It's too nasty to input it manually for each Stiefel manifold if n is quite large, i.e. n > 100.

[mateuszbaran]

If you need a product of the same manifold, you can use PowerManifold, for example PowerManifold(Stiefel(5, 2), 100). There are a few different representations you can use to represent points on such power manifold: https://juliamanifolds.github.io/ManifoldsBase.jl/stable/manifolds.html#sec-power-manifold

[kellertuer]

To phrase Mateusz idea with a concrete example, if your Stiefel manifold is M=Stiefel(k1,k2) and have your large n of copies take

M2 = Powermanifold(M,n) 

or even shorter M2 = M^n.