Stiefel manifold (source code)

= Stiefel manifold
{c}
{title2=$V_k(\mathbb R^n)$}
{wiki}

The real Stiefel manifold $V_k(\mathbb R^n)$ consists of ordered orthonormal $k$-frames in $\mathbb R^n$. In particular, $V_2(\mathbb R^{m+1})$ is naturally the <unit tangent bundle> of $S^m$.