Stiefel manifold
= Stiefel manifold
{wiki=Stiefel_manifold}
The Stiefel manifold, denoted as \\( V_k(\\mathbb\{R\}^n) \\), is a mathematical object that describes the space of orthonormal k-frames in an n-dimensional Euclidean space \\(\\mathbb\{R\}^n\\). More specifically, it consists of all matrices \\( A \\in \\mathbb\{R\}^\{n \\times k\} \\) whose columns are orthonormal vectors in \\(\\mathbb\{R\}^n\\).