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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