Grassmann Manifold

A special case of a flag manifold. A Grassmann manifold is a certain collection of vector subspaces of a vector space. In particular, g_(n,k) is the Grassmann manifold of k-dimensional subspaces of the vector space R^n. It has a natural manifold structure as an orbit-space of the Stiefel manifold v_(n,k) of orthonormal k-frames in G^n. One of the main things about Grassmann manifolds is that they are classifying spaces for vector bundles.

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Weisstein, Eric W. "Grassmann Manifold." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GrassmannManifold.html

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