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date: 2022-02-23 18:45
modification date: Wednesday 23rd February 2022 18:45:08
title: "Stiefel manifold"
aliases: [Stiefel manifold]

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# Stiefel manifold

![](attachments/Pasted%20image%2020220401161506.png)
$V_n(X)$ is the **Stiefel manifold** of dimension $n$ orthonormal frames in $X$.

![](attachments/Pasted%20image%2020220401162048.png)