Grassmann manifold
In differential geometry the Grassmann manifold \(\mathcal{G}(p, n)\) refers to the collection of all
\(p\)-dimensional subspaces embedded in a \(n\)-dimensional vector space
[1] [2]. A point on \(\mathcal{G}(p, n)\) is typically represented as a
\(n \times p\) orthonormal matrix \(\mathbf{X}\), whose column spans the corresponding subspace. UQpy
contains a set of classes and methods for data projection onto the Grassmann manifold, operations and interpolation on
the Grassmann manifold.