Grassmann manifold Gr(k,n) is the set of k-planes, or k-dimensional subspaces in R^n, which is indeed a compact Riemannian manifold. In this package, we use a convention that each element in Gr(k,n) is represented as an orthonormal basis (ONB) X \in \mathbf{R}^{n\times k} where
X^\top X = I_k
.
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